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Finding the Third Proportional to 41,370 and 87,614

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Solution

The third proportional to 41,370 and 87,614 is: 185,550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,370 : 87,614 = 87,614 : x
  2. Step 2: Convert to fraction form
    41,370/87,614 = 87,614/x
  3. Step 3: Cross multiply
    41,370x = 87,614 × 87,614
  4. Step 4: Simplify right side
    41,370x = 7,676,212,996
  5. Step 5: Solve for x
    x = 7,676,212,996/41,370
  6. Step 6: Final answer
    x = 185,550.23

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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.