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Finding the Third Proportional to 71,850.38 and 110,286.56

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Solution

The third proportional to 71,850.38 and 110,286.56 is: 169,284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,850.38 : 110,286.56 = 110,286.56 : x
  2. Step 2: Convert to fraction form
    71,850.38/110,286.56 = 110,286.56/x
  3. Step 3: Cross multiply
    71,850.38x = 110,286.56 × 110,286.56
  4. Step 4: Simplify right side
    71,850.38x = 12,163,125,868.07
  5. Step 5: Solve for x
    x = 12,163,125,868.07/71,850.38
  6. Step 6: Final answer
    x = 169,284.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.