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Finding the Third Proportional to 39,265 and 87,241

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Solution

The third proportional to 39,265 and 87,241 is: 193,836.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,265 : 87,241 = 87,241 : x
  2. Step 2: Convert to fraction form
    39,265/87,241 = 87,241/x
  3. Step 3: Cross multiply
    39,265x = 87,241 × 87,241
  4. Step 4: Simplify right side
    39,265x = 7,610,992,081
  5. Step 5: Solve for x
    x = 7,610,992,081/39,265
  6. Step 6: Final answer
    x = 193,836.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.