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Finding the Third Proportional to 83,663.25 and 125,678.75

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Solution

The third proportional to 83,663.25 and 125,678.75 is: 188,794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,663.25 : 125,678.75 = 125,678.75 : x
  2. Step 2: Convert to fraction form
    83,663.25/125,678.75 = 125,678.75/x
  3. Step 3: Cross multiply
    83,663.25x = 125,678.75 × 125,678.75
  4. Step 4: Simplify right side
    83,663.25x = 15,795,148,201.56
  5. Step 5: Solve for x
    x = 15,795,148,201.56/83,663.25
  6. Step 6: Final answer
    x = 188,794.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.