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Finding the Third Proportional to 66,022.88 and 98,781.19

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Solution

The third proportional to 66,022.88 and 98,781.19 is: 147,793.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,022.88 : 98,781.19 = 98,781.19 : x
  2. Step 2: Convert to fraction form
    66,022.88/98,781.19 = 98,781.19/x
  3. Step 3: Cross multiply
    66,022.88x = 98,781.19 × 98,781.19
  4. Step 4: Simplify right side
    66,022.88x = 9,757,723,003.91
  5. Step 5: Solve for x
    x = 9,757,723,003.91/66,022.88
  6. Step 6: Final answer
    x = 147,793.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.