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Finding the Third Proportional to 121,566.75 and 195,324.75

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Solution

The third proportional to 121,566.75 and 195,324.75 is: 313,833.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,566.75 : 195,324.75 = 195,324.75 : x
  2. Step 2: Convert to fraction form
    121,566.75/195,324.75 = 195,324.75/x
  3. Step 3: Cross multiply
    121,566.75x = 195,324.75 × 195,324.75
  4. Step 4: Simplify right side
    121,566.75x = 38,151,757,962.56
  5. Step 5: Solve for x
    x = 38,151,757,962.56/121,566.75
  6. Step 6: Final answer
    x = 313,833.82

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