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Finding the Third Proportional to 40,680 and 87,498

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Solution

The third proportional to 40,680 and 87,498 is: 188,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,680 : 87,498 = 87,498 : x
  2. Step 2: Convert to fraction form
    40,680/87,498 = 87,498/x
  3. Step 3: Cross multiply
    40,680x = 87,498 × 87,498
  4. Step 4: Simplify right side
    40,680x = 7,655,900,004
  5. Step 5: Solve for x
    x = 7,655,900,004/40,680
  6. Step 6: Final answer
    x = 188,198.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.