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Finding the Third Proportional to 83,062 and 176,999

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Solution

The third proportional to 83,062 and 176,999 is: 377,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,062 : 176,999 = 176,999 : x
  2. Step 2: Convert to fraction form
    83,062/176,999 = 176,999/x
  3. Step 3: Cross multiply
    83,062x = 176,999 × 176,999
  4. Step 4: Simplify right side
    83,062x = 31,328,646,001
  5. Step 5: Solve for x
    x = 31,328,646,001/83,062
  6. Step 6: Final answer
    x = 377,171.82

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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.