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Finding the Third Proportional to 60,542 and 145,446

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Solution

The third proportional to 60,542 and 145,446 is: 349,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,542 : 145,446 = 145,446 : x
  2. Step 2: Convert to fraction form
    60,542/145,446 = 145,446/x
  3. Step 3: Cross multiply
    60,542x = 145,446 × 145,446
  4. Step 4: Simplify right side
    60,542x = 21,154,538,916
  5. Step 5: Solve for x
    x = 21,154,538,916/60,542
  6. Step 6: Final answer
    x = 349,419.23

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.