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Finding the Third Proportional to 81,887 and 179,050

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Solution

The third proportional to 81,887 and 179,050 is: 391,501.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,887 : 179,050 = 179,050 : x
  2. Step 2: Convert to fraction form
    81,887/179,050 = 179,050/x
  3. Step 3: Cross multiply
    81,887x = 179,050 × 179,050
  4. Step 4: Simplify right side
    81,887x = 32,058,902,500
  5. Step 5: Solve for x
    x = 32,058,902,500/81,887
  6. Step 6: Final answer
    x = 391,501.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.