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Finding the Third Proportional to 41,742 and 92,814

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Solution

The third proportional to 41,742 and 92,814 is: 206,373.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,742 : 92,814 = 92,814 : x
  2. Step 2: Convert to fraction form
    41,742/92,814 = 92,814/x
  3. Step 3: Cross multiply
    41,742x = 92,814 × 92,814
  4. Step 4: Simplify right side
    41,742x = 8,614,438,596
  5. Step 5: Solve for x
    x = 8,614,438,596/41,742
  6. Step 6: Final answer
    x = 206,373.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.