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Finding the Third Proportional to 71,314 and 110,867

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Solution

The third proportional to 71,314 and 110,867 is: 172,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,314 : 110,867 = 110,867 : x
  2. Step 2: Convert to fraction form
    71,314/110,867 = 110,867/x
  3. Step 3: Cross multiply
    71,314x = 110,867 × 110,867
  4. Step 4: Simplify right side
    71,314x = 12,291,491,689
  5. Step 5: Solve for x
    x = 12,291,491,689/71,314
  6. Step 6: Final answer
    x = 172,357.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.