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Finding the Third Proportional to 71,366 and 93,867

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Solution

The third proportional to 71,366 and 93,867 is: 123,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,366 : 93,867 = 93,867 : x
  2. Step 2: Convert to fraction form
    71,366/93,867 = 93,867/x
  3. Step 3: Cross multiply
    71,366x = 93,867 × 93,867
  4. Step 4: Simplify right side
    71,366x = 8,811,013,689
  5. Step 5: Solve for x
    x = 8,811,013,689/71,366
  6. Step 6: Final answer
    x = 123,462.34

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.