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Finding the Third Proportional to 47,170.13 and 72,397.13

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Solution

The third proportional to 47,170.13 and 72,397.13 is: 111,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,170.13 : 72,397.13 = 72,397.13 : x
  2. Step 2: Convert to fraction form
    47,170.13/72,397.13 = 72,397.13/x
  3. Step 3: Cross multiply
    47,170.13x = 72,397.13 × 72,397.13
  4. Step 4: Simplify right side
    47,170.13x = 5,241,343,708.27
  5. Step 5: Solve for x
    x = 5,241,343,708.27/47,170.13
  6. Step 6: Final answer
    x = 111,115.75

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.