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Finding the Third Proportional to 123,833.25 and 191,331

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Solution

The third proportional to 123,833.25 and 191,331 is: 295,619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,833.25 : 191,331 = 191,331 : x
  2. Step 2: Convert to fraction form
    123,833.25/191,331 = 191,331/x
  3. Step 3: Cross multiply
    123,833.25x = 191,331 × 191,331
  4. Step 4: Simplify right side
    123,833.25x = 36,607,551,561
  5. Step 5: Solve for x
    x = 36,607,551,561/123,833.25
  6. Step 6: Final answer
    x = 295,619.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.