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Finding the Third Proportional to 103,660.25 and 158,766.38

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Solution

The third proportional to 103,660.25 and 158,766.38 is: 243,167.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,660.25 : 158,766.38 = 158,766.38 : x
  2. Step 2: Convert to fraction form
    103,660.25/158,766.38 = 158,766.38/x
  3. Step 3: Cross multiply
    103,660.25x = 158,766.38 × 158,766.38
  4. Step 4: Simplify right side
    103,660.25x = 25,206,761,830.64
  5. Step 5: Solve for x
    x = 25,206,761,830.64/103,660.25
  6. Step 6: Final answer
    x = 243,167.09

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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.