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Finding the Third Proportional to 81,630.14 and 126,084.52

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Solution

The third proportional to 81,630.14 and 126,084.52 is: 194,747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,630.14 : 126,084.52 = 126,084.52 : x
  2. Step 2: Convert to fraction form
    81,630.14/126,084.52 = 126,084.52/x
  3. Step 3: Cross multiply
    81,630.14x = 126,084.52 × 126,084.52
  4. Step 4: Simplify right side
    81,630.14x = 15,897,305,080.39
  5. Step 5: Solve for x
    x = 15,897,305,080.39/81,630.14
  6. Step 6: Final answer
    x = 194,747.98

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.