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Finding the Third Proportional to 81,990 and 176,895

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Solution

The third proportional to 81,990 and 176,895 is: 381,654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,990 : 176,895 = 176,895 : x
  2. Step 2: Convert to fraction form
    81,990/176,895 = 176,895/x
  3. Step 3: Cross multiply
    81,990x = 176,895 × 176,895
  4. Step 4: Simplify right side
    81,990x = 31,291,841,025
  5. Step 5: Solve for x
    x = 31,291,841,025/81,990
  6. Step 6: Final answer
    x = 381,654.36

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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.