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Finding the Third Proportional to 43,713 and 90,540

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Solution

The third proportional to 43,713 and 90,540 is: 187,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,713 : 90,540 = 90,540 : x
  2. Step 2: Convert to fraction form
    43,713/90,540 = 90,540/x
  3. Step 3: Cross multiply
    43,713x = 90,540 × 90,540
  4. Step 4: Simplify right side
    43,713x = 8,197,491,600
  5. Step 5: Solve for x
    x = 8,197,491,600/43,713
  6. Step 6: Final answer
    x = 187,529.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.