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Finding the Third Proportional to 124,707 and 272,743

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Solution

The third proportional to 124,707 and 272,743 is: 596,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,707 : 272,743 = 272,743 : x
  2. Step 2: Convert to fraction form
    124,707/272,743 = 272,743/x
  3. Step 3: Cross multiply
    124,707x = 272,743 × 272,743
  4. Step 4: Simplify right side
    124,707x = 74,388,744,049
  5. Step 5: Solve for x
    x = 74,388,744,049/124,707
  6. Step 6: Final answer
    x = 596,508.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.