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Finding the Third Proportional to 108,654.75 and 165,204.56

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Solution

The third proportional to 108,654.75 and 165,204.56 is: 251,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,654.75 : 165,204.56 = 165,204.56 : x
  2. Step 2: Convert to fraction form
    108,654.75/165,204.56 = 165,204.56/x
  3. Step 3: Cross multiply
    108,654.75x = 165,204.56 × 165,204.56
  4. Step 4: Simplify right side
    108,654.75x = 27,292,547,470.82
  5. Step 5: Solve for x
    x = 27,292,547,470.82/108,654.75
  6. Step 6: Final answer
    x = 251,185.96

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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.