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Finding the Third Proportional to 91,716.75 and 141,144.75

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Solution

The third proportional to 91,716.75 and 141,144.75 is: 217,210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,716.75 : 141,144.75 = 141,144.75 : x
  2. Step 2: Convert to fraction form
    91,716.75/141,144.75 = 141,144.75/x
  3. Step 3: Cross multiply
    91,716.75x = 141,144.75 × 141,144.75
  4. Step 4: Simplify right side
    91,716.75x = 19,921,840,452.56
  5. Step 5: Solve for x
    x = 19,921,840,452.56/91,716.75
  6. Step 6: Final answer
    x = 217,210.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.