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Finding the Third Proportional to 41,782 and 98,596

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Solution

The third proportional to 41,782 and 98,596 is: 232,664.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,782 : 98,596 = 98,596 : x
  2. Step 2: Convert to fraction form
    41,782/98,596 = 98,596/x
  3. Step 3: Cross multiply
    41,782x = 98,596 × 98,596
  4. Step 4: Simplify right side
    41,782x = 9,721,171,216
  5. Step 5: Solve for x
    x = 9,721,171,216/41,782
  6. Step 6: Final answer
    x = 232,664.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.