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Finding the Third Proportional to 41,421 and 88,647

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Solution

The third proportional to 41,421 and 88,647 is: 189,717.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,421 : 88,647 = 88,647 : x
  2. Step 2: Convert to fraction form
    41,421/88,647 = 88,647/x
  3. Step 3: Cross multiply
    41,421x = 88,647 × 88,647
  4. Step 4: Simplify right side
    41,421x = 7,858,290,609
  5. Step 5: Solve for x
    x = 7,858,290,609/41,421
  6. Step 6: Final answer
    x = 189,717.55

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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.