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Finding the Third Proportional to 82,881 and 125,010.75

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Solution

The third proportional to 82,881 and 125,010.75 is: 188,555.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,881 : 125,010.75 = 125,010.75 : x
  2. Step 2: Convert to fraction form
    82,881/125,010.75 = 125,010.75/x
  3. Step 3: Cross multiply
    82,881x = 125,010.75 × 125,010.75
  4. Step 4: Simplify right side
    82,881x = 15,627,687,615.56
  5. Step 5: Solve for x
    x = 15,627,687,615.56/82,881
  6. Step 6: Final answer
    x = 188,555.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.