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Finding the Third Proportional to 47,060.75 and 91,757.13

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Solution

The third proportional to 47,060.75 and 91,757.13 is: 178,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,060.75 : 91,757.13 = 91,757.13 : x
  2. Step 2: Convert to fraction form
    47,060.75/91,757.13 = 91,757.13/x
  3. Step 3: Cross multiply
    47,060.75x = 91,757.13 × 91,757.13
  4. Step 4: Simplify right side
    47,060.75x = 8,419,369,988.27
  5. Step 5: Solve for x
    x = 8,419,369,988.27/47,060.75
  6. Step 6: Final answer
    x = 178,904.29

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.