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Finding the Third Proportional to 81,391.50 and 122,001.75

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Solution

The third proportional to 81,391.50 and 122,001.75 is: 182,874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,391.50 : 122,001.75 = 122,001.75 : x
  2. Step 2: Convert to fraction form
    81,391.50/122,001.75 = 122,001.75/x
  3. Step 3: Cross multiply
    81,391.50x = 122,001.75 × 122,001.75
  4. Step 4: Simplify right side
    81,391.50x = 14,884,427,003.06
  5. Step 5: Solve for x
    x = 14,884,427,003.06/81,391.50
  6. Step 6: Final answer
    x = 182,874.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.