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Finding the Third Proportional to 83,063 and 177,001

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Solution

The third proportional to 83,063 and 177,001 is: 377,175.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,063 : 177,001 = 177,001 : x
  2. Step 2: Convert to fraction form
    83,063/177,001 = 177,001/x
  3. Step 3: Cross multiply
    83,063x = 177,001 × 177,001
  4. Step 4: Simplify right side
    83,063x = 31,329,354,001
  5. Step 5: Solve for x
    x = 31,329,354,001/83,063
  6. Step 6: Final answer
    x = 377,175.81

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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.