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Finding the Third Proportional to 111,732.75 and 165,425.25

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Solution

The third proportional to 111,732.75 and 165,425.25 is: 244,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,732.75 : 165,425.25 = 165,425.25 : x
  2. Step 2: Convert to fraction form
    111,732.75/165,425.25 = 165,425.25/x
  3. Step 3: Cross multiply
    111,732.75x = 165,425.25 × 165,425.25
  4. Step 4: Simplify right side
    111,732.75x = 27,365,513,337.56
  5. Step 5: Solve for x
    x = 27,365,513,337.56/111,732.75
  6. Step 6: Final answer
    x = 244,919.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.