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Finding the Third Proportional to 127,540 and 161,714

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Solution

The third proportional to 127,540 and 161,714 is: 205,044.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,540 : 161,714 = 161,714 : x
  2. Step 2: Convert to fraction form
    127,540/161,714 = 161,714/x
  3. Step 3: Cross multiply
    127,540x = 161,714 × 161,714
  4. Step 4: Simplify right side
    127,540x = 26,151,417,796
  5. Step 5: Solve for x
    x = 26,151,417,796/127,540
  6. Step 6: Final answer
    x = 205,044.83

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.