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Finding the Third Proportional to 68,504 and 100,542

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Solution

The third proportional to 68,504 and 100,542 is: 147,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,504 : 100,542 = 100,542 : x
  2. Step 2: Convert to fraction form
    68,504/100,542 = 100,542/x
  3. Step 3: Cross multiply
    68,504x = 100,542 × 100,542
  4. Step 4: Simplify right side
    68,504x = 10,108,693,764
  5. Step 5: Solve for x
    x = 10,108,693,764/68,504
  6. Step 6: Final answer
    x = 147,563.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.