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Finding the Third Proportional to 71,251.50 and 112,818.75

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Solution

The third proportional to 71,251.50 and 112,818.75 is: 178,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,251.50 : 112,818.75 = 112,818.75 : x
  2. Step 2: Convert to fraction form
    71,251.50/112,818.75 = 112,818.75/x
  3. Step 3: Cross multiply
    71,251.50x = 112,818.75 × 112,818.75
  4. Step 4: Simplify right side
    71,251.50x = 12,728,070,351.56
  5. Step 5: Solve for x
    x = 12,728,070,351.56/71,251.50
  6. Step 6: Final answer
    x = 178,635.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.