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Finding the Third Proportional to 39,761 and 86,535

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Solution

The third proportional to 39,761 and 86,535 is: 188,332.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,761 : 86,535 = 86,535 : x
  2. Step 2: Convert to fraction form
    39,761/86,535 = 86,535/x
  3. Step 3: Cross multiply
    39,761x = 86,535 × 86,535
  4. Step 4: Simplify right side
    39,761x = 7,488,306,225
  5. Step 5: Solve for x
    x = 7,488,306,225/39,761
  6. Step 6: Final answer
    x = 188,332.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.