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Finding the Third Proportional to 106,912.41 and 158,770.13

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Solution

The third proportional to 106,912.41 and 158,770.13 is: 235,781.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,912.41 : 158,770.13 = 158,770.13 : x
  2. Step 2: Convert to fraction form
    106,912.41/158,770.13 = 158,770.13/x
  3. Step 3: Cross multiply
    106,912.41x = 158,770.13 × 158,770.13
  4. Step 4: Simplify right side
    106,912.41x = 25,207,952,592.52
  5. Step 5: Solve for x
    x = 25,207,952,592.52/106,912.41
  6. Step 6: Final answer
    x = 235,781.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.