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Finding the Third Proportional to 71,002 and 106,685

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Solution

The third proportional to 71,002 and 106,685 is: 160,300.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,002 : 106,685 = 106,685 : x
  2. Step 2: Convert to fraction form
    71,002/106,685 = 106,685/x
  3. Step 3: Cross multiply
    71,002x = 106,685 × 106,685
  4. Step 4: Simplify right side
    71,002x = 11,381,689,225
  5. Step 5: Solve for x
    x = 11,381,689,225/71,002
  6. Step 6: Final answer
    x = 160,300.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.