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Finding the Third Proportional to 71,158.50 and 158,073

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Solution

The third proportional to 71,158.50 and 158,073 is: 351,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,158.50 : 158,073 = 158,073 : x
  2. Step 2: Convert to fraction form
    71,158.50/158,073 = 158,073/x
  3. Step 3: Cross multiply
    71,158.50x = 158,073 × 158,073
  4. Step 4: Simplify right side
    71,158.50x = 24,987,073,329
  5. Step 5: Solve for x
    x = 24,987,073,329/71,158.50
  6. Step 6: Final answer
    x = 351,146.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.