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Finding the Third Proportional to 88,078.50 and 125,502.75

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Solution

The third proportional to 88,078.50 and 125,502.75 is: 178,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,078.50 : 125,502.75 = 125,502.75 : x
  2. Step 2: Convert to fraction form
    88,078.50/125,502.75 = 125,502.75/x
  3. Step 3: Cross multiply
    88,078.50x = 125,502.75 × 125,502.75
  4. Step 4: Simplify right side
    88,078.50x = 15,750,940,257.56
  5. Step 5: Solve for x
    x = 15,750,940,257.56/88,078.50
  6. Step 6: Final answer
    x = 178,828.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.