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Finding the Third Proportional to 106,422.75 and 158,711.63

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Solution

The third proportional to 106,422.75 and 158,711.63 is: 236,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,422.75 : 158,711.63 = 158,711.63 : x
  2. Step 2: Convert to fraction form
    106,422.75/158,711.63 = 158,711.63/x
  3. Step 3: Cross multiply
    106,422.75x = 158,711.63 × 158,711.63
  4. Step 4: Simplify right side
    106,422.75x = 25,189,379,910.14
  5. Step 5: Solve for x
    x = 25,189,379,910.14/106,422.75
  6. Step 6: Final answer
    x = 236,691.68

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