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Finding the Third Proportional to 81,848.25 and 126,150.75

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Solution

The third proportional to 81,848.25 and 126,150.75 is: 194,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,848.25 : 126,150.75 = 126,150.75 : x
  2. Step 2: Convert to fraction form
    81,848.25/126,150.75 = 126,150.75/x
  3. Step 3: Cross multiply
    81,848.25x = 126,150.75 × 126,150.75
  4. Step 4: Simplify right side
    81,848.25x = 15,914,011,725.56
  5. Step 5: Solve for x
    x = 15,914,011,725.56/81,848.25
  6. Step 6: Final answer
    x = 194,433.13

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Why These Related Problems?

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