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Finding the Third Proportional to 42,814 and 68,186

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Solution

The third proportional to 42,814 and 68,186 is: 108,593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,814 : 68,186 = 68,186 : x
  2. Step 2: Convert to fraction form
    42,814/68,186 = 68,186/x
  3. Step 3: Cross multiply
    42,814x = 68,186 × 68,186
  4. Step 4: Simplify right side
    42,814x = 4,649,330,596
  5. Step 5: Solve for x
    x = 4,649,330,596/42,814
  6. Step 6: Final answer
    x = 108,593.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.