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Finding the Third Proportional to 41,565 and 88,321

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Solution

The third proportional to 41,565 and 88,321 is: 187,672.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,565 : 88,321 = 88,321 : x
  2. Step 2: Convert to fraction form
    41,565/88,321 = 88,321/x
  3. Step 3: Cross multiply
    41,565x = 88,321 × 88,321
  4. Step 4: Simplify right side
    41,565x = 7,800,599,041
  5. Step 5: Solve for x
    x = 7,800,599,041/41,565
  6. Step 6: Final answer
    x = 187,672.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.