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Finding the Third Proportional to 39,085 and 79,552

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Solution

The third proportional to 39,085 and 79,552 is: 161,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,085 : 79,552 = 79,552 : x
  2. Step 2: Convert to fraction form
    39,085/79,552 = 79,552/x
  3. Step 3: Cross multiply
    39,085x = 79,552 × 79,552
  4. Step 4: Simplify right side
    39,085x = 6,328,520,704
  5. Step 5: Solve for x
    x = 6,328,520,704/39,085
  6. Step 6: Final answer
    x = 161,916.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.