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Finding the Third Proportional to 124,744 and 272,060

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Solution

The third proportional to 124,744 and 272,060 is: 593,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,744 : 272,060 = 272,060 : x
  2. Step 2: Convert to fraction form
    124,744/272,060 = 272,060/x
  3. Step 3: Cross multiply
    124,744x = 272,060 × 272,060
  4. Step 4: Simplify right side
    124,744x = 74,016,643,600
  5. Step 5: Solve for x
    x = 74,016,643,600/124,744
  6. Step 6: Final answer
    x = 593,348.33

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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.