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Finding the Third Proportional to 39,126 and 80,074

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Solution

The third proportional to 39,126 and 80,074 is: 163,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,126 : 80,074 = 80,074 : x
  2. Step 2: Convert to fraction form
    39,126/80,074 = 80,074/x
  3. Step 3: Cross multiply
    39,126x = 80,074 × 80,074
  4. Step 4: Simplify right side
    39,126x = 6,411,845,476
  5. Step 5: Solve for x
    x = 6,411,845,476/39,126
  6. Step 6: Final answer
    x = 163,876.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.