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Finding the Third Proportional to 73,542 and 155,751

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Solution

The third proportional to 73,542 and 155,751 is: 329,857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,542 : 155,751 = 155,751 : x
  2. Step 2: Convert to fraction form
    73,542/155,751 = 155,751/x
  3. Step 3: Cross multiply
    73,542x = 155,751 × 155,751
  4. Step 4: Simplify right side
    73,542x = 24,258,374,001
  5. Step 5: Solve for x
    x = 24,258,374,001/73,542
  6. Step 6: Final answer
    x = 329,857.41

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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.