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Finding the Third Proportional to 108,379.69 and 165,125.25

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Solution

The third proportional to 108,379.69 and 165,125.25 is: 251,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,379.69 : 165,125.25 = 165,125.25 : x
  2. Step 2: Convert to fraction form
    108,379.69/165,125.25 = 165,125.25/x
  3. Step 3: Cross multiply
    108,379.69x = 165,125.25 × 165,125.25
  4. Step 4: Simplify right side
    108,379.69x = 27,266,348,187.56
  5. Step 5: Solve for x
    x = 27,266,348,187.56/108,379.69
  6. Step 6: Final answer
    x = 251,581.72

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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.