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Finding the Third Proportional to 67,071 and 110,466

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Solution

The third proportional to 67,071 and 110,466 is: 181,937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,071 : 110,466 = 110,466 : x
  2. Step 2: Convert to fraction form
    67,071/110,466 = 110,466/x
  3. Step 3: Cross multiply
    67,071x = 110,466 × 110,466
  4. Step 4: Simplify right side
    67,071x = 12,202,737,156
  5. Step 5: Solve for x
    x = 12,202,737,156/67,071
  6. Step 6: Final answer
    x = 181,937.61

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.