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Finding the Third Proportional to 74,372 and 156,552

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Solution

The third proportional to 74,372 and 156,552 is: 329,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,372 : 156,552 = 156,552 : x
  2. Step 2: Convert to fraction form
    74,372/156,552 = 156,552/x
  3. Step 3: Cross multiply
    74,372x = 156,552 × 156,552
  4. Step 4: Simplify right side
    74,372x = 24,508,528,704
  5. Step 5: Solve for x
    x = 24,508,528,704/74,372
  6. Step 6: Final answer
    x = 329,539.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.