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Finding the Third Proportional to 79,612 and 174,542

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Solution

The third proportional to 79,612 and 174,542 is: 382,667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,612 : 174,542 = 174,542 : x
  2. Step 2: Convert to fraction form
    79,612/174,542 = 174,542/x
  3. Step 3: Cross multiply
    79,612x = 174,542 × 174,542
  4. Step 4: Simplify right side
    79,612x = 30,464,909,764
  5. Step 5: Solve for x
    x = 30,464,909,764/79,612
  6. Step 6: Final answer
    x = 382,667.31

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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.