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Finding the Third Proportional to 127,530 and 161,699

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Solution

The third proportional to 127,530 and 161,699 is: 205,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,530 : 161,699 = 161,699 : x
  2. Step 2: Convert to fraction form
    127,530/161,699 = 161,699/x
  3. Step 3: Cross multiply
    127,530x = 161,699 × 161,699
  4. Step 4: Simplify right side
    127,530x = 26,146,566,601
  5. Step 5: Solve for x
    x = 26,146,566,601/127,530
  6. Step 6: Final answer
    x = 205,022.87

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.