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Finding the Third Proportional to 67,406 and 89,443

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Solution

The third proportional to 67,406 and 89,443 is: 118,684.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,406 : 89,443 = 89,443 : x
  2. Step 2: Convert to fraction form
    67,406/89,443 = 89,443/x
  3. Step 3: Cross multiply
    67,406x = 89,443 × 89,443
  4. Step 4: Simplify right side
    67,406x = 8,000,050,249
  5. Step 5: Solve for x
    x = 8,000,050,249/67,406
  6. Step 6: Final answer
    x = 118,684.54

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.