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Finding the Third Proportional to 75,639.75 and 100,336.88

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Solution

The third proportional to 75,639.75 and 100,336.88 is: 133,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,639.75 : 100,336.88 = 100,336.88 : x
  2. Step 2: Convert to fraction form
    75,639.75/100,336.88 = 100,336.88/x
  3. Step 3: Cross multiply
    75,639.75x = 100,336.88 × 100,336.88
  4. Step 4: Simplify right side
    75,639.75x = 10,067,488,484.77
  5. Step 5: Solve for x
    x = 10,067,488,484.77/75,639.75
  6. Step 6: Final answer
    x = 133,097.86

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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.