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Finding the Third Proportional to 35,542 and 75,458

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Solution

The third proportional to 35,542 and 75,458 is: 160,202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,542 : 75,458 = 75,458 : x
  2. Step 2: Convert to fraction form
    35,542/75,458 = 75,458/x
  3. Step 3: Cross multiply
    35,542x = 75,458 × 75,458
  4. Step 4: Simplify right side
    35,542x = 5,693,909,764
  5. Step 5: Solve for x
    x = 5,693,909,764/35,542
  6. Step 6: Final answer
    x = 160,202.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.