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Finding the Third Proportional to 68,234 and 100,398

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Solution

The third proportional to 68,234 and 100,398 is: 147,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,234 : 100,398 = 100,398 : x
  2. Step 2: Convert to fraction form
    68,234/100,398 = 100,398/x
  3. Step 3: Cross multiply
    68,234x = 100,398 × 100,398
  4. Step 4: Simplify right side
    68,234x = 10,079,758,404
  5. Step 5: Solve for x
    x = 10,079,758,404/68,234
  6. Step 6: Final answer
    x = 147,723.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.