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Finding the Third Proportional to 127,250 and 190,812

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Solution

The third proportional to 127,250 and 190,812 is: 286,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,250 : 190,812 = 190,812 : x
  2. Step 2: Convert to fraction form
    127,250/190,812 = 190,812/x
  3. Step 3: Cross multiply
    127,250x = 190,812 × 190,812
  4. Step 4: Simplify right side
    127,250x = 36,409,219,344
  5. Step 5: Solve for x
    x = 36,409,219,344/127,250
  6. Step 6: Final answer
    x = 286,123.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.