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Finding the Third Proportional to 91,832 and 141,900

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Solution

The third proportional to 91,832 and 141,900 is: 219,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,832 : 141,900 = 141,900 : x
  2. Step 2: Convert to fraction form
    91,832/141,900 = 141,900/x
  3. Step 3: Cross multiply
    91,832x = 141,900 × 141,900
  4. Step 4: Simplify right side
    91,832x = 20,135,610,000
  5. Step 5: Solve for x
    x = 20,135,610,000/91,832
  6. Step 6: Final answer
    x = 219,265.72

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