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Finding the Third Proportional to 71,397 and 100,410.75

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Solution

The third proportional to 71,397 and 100,410.75 is: 141,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,397 : 100,410.75 = 100,410.75 : x
  2. Step 2: Convert to fraction form
    71,397/100,410.75 = 100,410.75/x
  3. Step 3: Cross multiply
    71,397x = 100,410.75 × 100,410.75
  4. Step 4: Simplify right side
    71,397x = 10,082,318,715.56
  5. Step 5: Solve for x
    x = 10,082,318,715.56/71,397
  6. Step 6: Final answer
    x = 141,214.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.