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Finding the Third Proportional to 57,304 and 124,432

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Solution

The third proportional to 57,304 and 124,432 is: 270,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,304 : 124,432 = 124,432 : x
  2. Step 2: Convert to fraction form
    57,304/124,432 = 124,432/x
  3. Step 3: Cross multiply
    57,304x = 124,432 × 124,432
  4. Step 4: Simplify right side
    57,304x = 15,483,322,624
  5. Step 5: Solve for x
    x = 15,483,322,624/57,304
  6. Step 6: Final answer
    x = 270,196.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.