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Finding the Third Proportional to 103,767.75 and 165,169.13

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Solution

The third proportional to 103,767.75 and 165,169.13 is: 262,902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,767.75 : 165,169.13 = 165,169.13 : x
  2. Step 2: Convert to fraction form
    103,767.75/165,169.13 = 165,169.13/x
  3. Step 3: Cross multiply
    103,767.75x = 165,169.13 × 165,169.13
  4. Step 4: Simplify right side
    103,767.75x = 27,280,839,853.27
  5. Step 5: Solve for x
    x = 27,280,839,853.27/103,767.75
  6. Step 6: Final answer
    x = 262,902.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.