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Finding the Third Proportional to 41,288 and 87,904

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Solution

The third proportional to 41,288 and 87,904 is: 187,151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,288 : 87,904 = 87,904 : x
  2. Step 2: Convert to fraction form
    41,288/87,904 = 87,904/x
  3. Step 3: Cross multiply
    41,288x = 87,904 × 87,904
  4. Step 4: Simplify right side
    41,288x = 7,727,113,216
  5. Step 5: Solve for x
    x = 7,727,113,216/41,288
  6. Step 6: Final answer
    x = 187,151.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.