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Finding the Third Proportional to 39,959 and 84,846

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Solution

The third proportional to 39,959 and 84,846 is: 180,155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,959 : 84,846 = 84,846 : x
  2. Step 2: Convert to fraction form
    39,959/84,846 = 84,846/x
  3. Step 3: Cross multiply
    39,959x = 84,846 × 84,846
  4. Step 4: Simplify right side
    39,959x = 7,198,843,716
  5. Step 5: Solve for x
    x = 7,198,843,716/39,959
  6. Step 6: Final answer
    x = 180,155.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.