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Finding the Third Proportional to 91,780.50 and 141,174.75

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Solution

The third proportional to 91,780.50 and 141,174.75 is: 217,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,780.50 : 141,174.75 = 141,174.75 : x
  2. Step 2: Convert to fraction form
    91,780.50/141,174.75 = 141,174.75/x
  3. Step 3: Cross multiply
    91,780.50x = 141,174.75 × 141,174.75
  4. Step 4: Simplify right side
    91,780.50x = 19,930,310,037.56
  5. Step 5: Solve for x
    x = 19,930,310,037.56/91,780.50
  6. Step 6: Final answer
    x = 217,151.90

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