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Finding the Third Proportional to 77,922 and 125,489.25

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Solution

The third proportional to 77,922 and 125,489.25 is: 202,093.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,922 : 125,489.25 = 125,489.25 : x
  2. Step 2: Convert to fraction form
    77,922/125,489.25 = 125,489.25/x
  3. Step 3: Cross multiply
    77,922x = 125,489.25 × 125,489.25
  4. Step 4: Simplify right side
    77,922x = 15,747,551,865.56
  5. Step 5: Solve for x
    x = 15,747,551,865.56/77,922
  6. Step 6: Final answer
    x = 202,093.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.