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Finding the Third Proportional to 105,735.38 and 161,951.91

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Solution

The third proportional to 105,735.38 and 161,951.91 is: 248,057.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,735.38 : 161,951.91 = 161,951.91 : x
  2. Step 2: Convert to fraction form
    105,735.38/161,951.91 = 161,951.91/x
  3. Step 3: Cross multiply
    105,735.38x = 161,951.91 × 161,951.91
  4. Step 4: Simplify right side
    105,735.38x = 26,228,419,938.01
  5. Step 5: Solve for x
    x = 26,228,419,938.01/105,735.38
  6. Step 6: Final answer
    x = 248,057.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.