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Finding the Third Proportional to 80,810 and 171,988

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Solution

The third proportional to 80,810 and 171,988 is: 366,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,810 : 171,988 = 171,988 : x
  2. Step 2: Convert to fraction form
    80,810/171,988 = 171,988/x
  3. Step 3: Cross multiply
    80,810x = 171,988 × 171,988
  4. Step 4: Simplify right side
    80,810x = 29,579,872,144
  5. Step 5: Solve for x
    x = 29,579,872,144/80,810
  6. Step 6: Final answer
    x = 366,042.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.