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Finding the Third Proportional to 124,713 and 272,754

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Solution

The third proportional to 124,713 and 272,754 is: 596,527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,713 : 272,754 = 272,754 : x
  2. Step 2: Convert to fraction form
    124,713/272,754 = 272,754/x
  3. Step 3: Cross multiply
    124,713x = 272,754 × 272,754
  4. Step 4: Simplify right side
    124,713x = 74,394,744,516
  5. Step 5: Solve for x
    x = 74,394,744,516/124,713
  6. Step 6: Final answer
    x = 596,527.58

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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.