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Finding the Third Proportional to 125,120 and 272,272

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Solution

The third proportional to 125,120 and 272,272 is: 592,487.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,120 : 272,272 = 272,272 : x
  2. Step 2: Convert to fraction form
    125,120/272,272 = 272,272/x
  3. Step 3: Cross multiply
    125,120x = 272,272 × 272,272
  4. Step 4: Simplify right side
    125,120x = 74,132,041,984
  5. Step 5: Solve for x
    x = 74,132,041,984/125,120
  6. Step 6: Final answer
    x = 592,487.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.