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Finding the Third Proportional to 71,992.13 and 157,086

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Solution

The third proportional to 71,992.13 and 157,086 is: 342,759.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,992.13 : 157,086 = 157,086 : x
  2. Step 2: Convert to fraction form
    71,992.13/157,086 = 157,086/x
  3. Step 3: Cross multiply
    71,992.13x = 157,086 × 157,086
  4. Step 4: Simplify right side
    71,992.13x = 24,676,011,396
  5. Step 5: Solve for x
    x = 24,676,011,396/71,992.13
  6. Step 6: Final answer
    x = 342,759.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.