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Finding the Third Proportional to 91,900 and 141,846

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Solution

The third proportional to 91,900 and 141,846 is: 218,936.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,900 : 141,846 = 141,846 : x
  2. Step 2: Convert to fraction form
    91,900/141,846 = 141,846/x
  3. Step 3: Cross multiply
    91,900x = 141,846 × 141,846
  4. Step 4: Simplify right side
    91,900x = 20,120,287,716
  5. Step 5: Solve for x
    x = 20,120,287,716/91,900
  6. Step 6: Final answer
    x = 218,936.75

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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.