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Finding the Third Proportional to 82,149.19 and 174,891.66

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Solution

The third proportional to 82,149.19 and 174,891.66 is: 372,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,149.19 : 174,891.66 = 174,891.66 : x
  2. Step 2: Convert to fraction form
    82,149.19/174,891.66 = 174,891.66/x
  3. Step 3: Cross multiply
    82,149.19x = 174,891.66 × 174,891.66
  4. Step 4: Simplify right side
    82,149.19x = 30,587,091,425.87
  5. Step 5: Solve for x
    x = 30,587,091,425.87/82,149.19
  6. Step 6: Final answer
    x = 372,335.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.