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Finding the Third Proportional to 71,370 and 106,876

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Solution

The third proportional to 71,370 and 106,876 is: 160,045.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,370 : 106,876 = 106,876 : x
  2. Step 2: Convert to fraction form
    71,370/106,876 = 106,876/x
  3. Step 3: Cross multiply
    71,370x = 106,876 × 106,876
  4. Step 4: Simplify right side
    71,370x = 11,422,479,376
  5. Step 5: Solve for x
    x = 11,422,479,376/71,370
  6. Step 6: Final answer
    x = 160,045.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.