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Finding the Third Proportional to 75,613.50 and 165,699

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Solution

The third proportional to 75,613.50 and 165,699 is: 363,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,613.50 : 165,699 = 165,699 : x
  2. Step 2: Convert to fraction form
    75,613.50/165,699 = 165,699/x
  3. Step 3: Cross multiply
    75,613.50x = 165,699 × 165,699
  4. Step 4: Simplify right side
    75,613.50x = 27,456,158,601
  5. Step 5: Solve for x
    x = 27,456,158,601/75,613.50
  6. Step 6: Final answer
    x = 363,111.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.