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Finding the Third Proportional to 41,224 and 88,289

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Solution

The third proportional to 41,224 and 88,289 is: 189,087.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,224 : 88,289 = 88,289 : x
  2. Step 2: Convert to fraction form
    41,224/88,289 = 88,289/x
  3. Step 3: Cross multiply
    41,224x = 88,289 × 88,289
  4. Step 4: Simplify right side
    41,224x = 7,794,947,521
  5. Step 5: Solve for x
    x = 7,794,947,521/41,224
  6. Step 6: Final answer
    x = 189,087.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.