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Finding the Third Proportional to 57,231 and 124,506

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Solution

The third proportional to 57,231 and 124,506 is: 270,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,231 : 124,506 = 124,506 : x
  2. Step 2: Convert to fraction form
    57,231/124,506 = 124,506/x
  3. Step 3: Cross multiply
    57,231x = 124,506 × 124,506
  4. Step 4: Simplify right side
    57,231x = 15,501,744,036
  5. Step 5: Solve for x
    x = 15,501,744,036/57,231
  6. Step 6: Final answer
    x = 270,862.71

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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.