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Finding the Third Proportional to 75,633.75 and 100,624.78

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Solution

The third proportional to 75,633.75 and 100,624.78 is: 133,873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,633.75 : 100,624.78 = 100,624.78 : x
  2. Step 2: Convert to fraction form
    75,633.75/100,624.78 = 100,624.78/x
  3. Step 3: Cross multiply
    75,633.75x = 100,624.78 × 100,624.78
  4. Step 4: Simplify right side
    75,633.75x = 10,125,346,601.61
  5. Step 5: Solve for x
    x = 10,125,346,601.61/75,633.75
  6. Step 6: Final answer
    x = 133,873.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.