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Finding the Third Proportional to 96,000.50 and 127,388.50

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Solution

The third proportional to 96,000.50 and 127,388.50 is: 169,039.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,000.50 : 127,388.50 = 127,388.50 : x
  2. Step 2: Convert to fraction form
    96,000.50/127,388.50 = 127,388.50/x
  3. Step 3: Cross multiply
    96,000.50x = 127,388.50 × 127,388.50
  4. Step 4: Simplify right side
    96,000.50x = 16,227,829,932.25
  5. Step 5: Solve for x
    x = 16,227,829,932.25/96,000.50
  6. Step 6: Final answer
    x = 169,039.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.