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Finding the Third Proportional to 67,086 and 98,685

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Solution

The third proportional to 67,086 and 98,685 is: 145,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,086 : 98,685 = 98,685 : x
  2. Step 2: Convert to fraction form
    67,086/98,685 = 98,685/x
  3. Step 3: Cross multiply
    67,086x = 98,685 × 98,685
  4. Step 4: Simplify right side
    67,086x = 9,738,729,225
  5. Step 5: Solve for x
    x = 9,738,729,225/67,086
  6. Step 6: Final answer
    x = 145,167.83

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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.