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Finding the Third Proportional to 127,996.50 and 176,440.50

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Solution

The third proportional to 127,996.50 and 176,440.50 is: 243,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,996.50 : 176,440.50 = 176,440.50 : x
  2. Step 2: Convert to fraction form
    127,996.50/176,440.50 = 176,440.50/x
  3. Step 3: Cross multiply
    127,996.50x = 176,440.50 × 176,440.50
  4. Step 4: Simplify right side
    127,996.50x = 31,131,250,040.25
  5. Step 5: Solve for x
    x = 31,131,250,040.25/127,996.50
  6. Step 6: Final answer
    x = 243,219.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.