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Finding the Third Proportional to 41,754 and 87,611

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Solution

The third proportional to 41,754 and 87,611 is: 183,831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,754 : 87,611 = 87,611 : x
  2. Step 2: Convert to fraction form
    41,754/87,611 = 87,611/x
  3. Step 3: Cross multiply
    41,754x = 87,611 × 87,611
  4. Step 4: Simplify right side
    41,754x = 7,675,687,321
  5. Step 5: Solve for x
    x = 7,675,687,321/41,754
  6. Step 6: Final answer
    x = 183,831.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.