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Finding the Third Proportional to 45,900 and 100,542

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Solution

The third proportional to 45,900 and 100,542 is: 220,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,900 : 100,542 = 100,542 : x
  2. Step 2: Convert to fraction form
    45,900/100,542 = 100,542/x
  3. Step 3: Cross multiply
    45,900x = 100,542 × 100,542
  4. Step 4: Simplify right side
    45,900x = 10,108,693,764
  5. Step 5: Solve for x
    x = 10,108,693,764/45,900
  6. Step 6: Final answer
    x = 220,232.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.