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Finding the Third Proportional to 108,582.38 and 165,087.38

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Solution

The third proportional to 108,582.38 and 165,087.38 is: 250,996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,582.38 : 165,087.38 = 165,087.38 : x
  2. Step 2: Convert to fraction form
    108,582.38/165,087.38 = 165,087.38/x
  3. Step 3: Cross multiply
    108,582.38x = 165,087.38 × 165,087.38
  4. Step 4: Simplify right side
    108,582.38x = 27,253,841,384.39
  5. Step 5: Solve for x
    x = 27,253,841,384.39/108,582.38
  6. Step 6: Final answer
    x = 250,996.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.