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Finding the Third Proportional to 71,372 and 93,876

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Solution

The third proportional to 71,372 and 93,876 is: 123,475.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,372 : 93,876 = 93,876 : x
  2. Step 2: Convert to fraction form
    71,372/93,876 = 93,876/x
  3. Step 3: Cross multiply
    71,372x = 93,876 × 93,876
  4. Step 4: Simplify right side
    71,372x = 8,812,703,376
  5. Step 5: Solve for x
    x = 8,812,703,376/71,372
  6. Step 6: Final answer
    x = 123,475.64

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.