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Finding the Third Proportional to 85,065.75 and 125,658.75

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Solution

The third proportional to 85,065.75 and 125,658.75 is: 185,622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,065.75 : 125,658.75 = 125,658.75 : x
  2. Step 2: Convert to fraction form
    85,065.75/125,658.75 = 125,658.75/x
  3. Step 3: Cross multiply
    85,065.75x = 125,658.75 × 125,658.75
  4. Step 4: Simplify right side
    85,065.75x = 15,790,121,451.56
  5. Step 5: Solve for x
    x = 15,790,121,451.56/85,065.75
  6. Step 6: Final answer
    x = 185,622.55

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.