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Finding the Third Proportional to 79,566 and 171,587

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Solution

The third proportional to 79,566 and 171,587 is: 370,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,566 : 171,587 = 171,587 : x
  2. Step 2: Convert to fraction form
    79,566/171,587 = 171,587/x
  3. Step 3: Cross multiply
    79,566x = 171,587 × 171,587
  4. Step 4: Simplify right side
    79,566x = 29,442,098,569
  5. Step 5: Solve for x
    x = 29,442,098,569/79,566
  6. Step 6: Final answer
    x = 370,033.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.