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Finding the Third Proportional to 124,554 and 272,487

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Solution

The third proportional to 124,554 and 272,487 is: 596,120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,554 : 272,487 = 272,487 : x
  2. Step 2: Convert to fraction form
    124,554/272,487 = 272,487/x
  3. Step 3: Cross multiply
    124,554x = 272,487 × 272,487
  4. Step 4: Simplify right side
    124,554x = 74,249,165,169
  5. Step 5: Solve for x
    x = 74,249,165,169/124,554
  6. Step 6: Final answer
    x = 596,120.28

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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.