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Finding the Third Proportional to 41,789 and 87,034

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Solution

The third proportional to 41,789 and 87,034 is: 181,265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,789 : 87,034 = 87,034 : x
  2. Step 2: Convert to fraction form
    41,789/87,034 = 87,034/x
  3. Step 3: Cross multiply
    41,789x = 87,034 × 87,034
  4. Step 4: Simplify right side
    41,789x = 7,574,917,156
  5. Step 5: Solve for x
    x = 7,574,917,156/41,789
  6. Step 6: Final answer
    x = 181,265.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.