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Finding the Third Proportional to 71,404.50 and 100,422

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Solution

The third proportional to 71,404.50 and 100,422 is: 141,231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,404.50 : 100,422 = 100,422 : x
  2. Step 2: Convert to fraction form
    71,404.50/100,422 = 100,422/x
  3. Step 3: Cross multiply
    71,404.50x = 100,422 × 100,422
  4. Step 4: Simplify right side
    71,404.50x = 10,084,578,084
  5. Step 5: Solve for x
    x = 10,084,578,084/71,404.50
  6. Step 6: Final answer
    x = 141,231.69

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