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Finding the Third Proportional to 71,694 and 141,565.50

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Solution

The third proportional to 71,694 and 141,565.50 is: 279,532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,694 : 141,565.50 = 141,565.50 : x
  2. Step 2: Convert to fraction form
    71,694/141,565.50 = 141,565.50/x
  3. Step 3: Cross multiply
    71,694x = 141,565.50 × 141,565.50
  4. Step 4: Simplify right side
    71,694x = 20,040,790,790.25
  5. Step 5: Solve for x
    x = 20,040,790,790.25/71,694
  6. Step 6: Final answer
    x = 279,532.33

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.