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Finding the Third Proportional to 91,867 and 141,962

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Solution

The third proportional to 91,867 and 141,962 is: 219,373.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,867 : 141,962 = 141,962 : x
  2. Step 2: Convert to fraction form
    91,867/141,962 = 141,962/x
  3. Step 3: Cross multiply
    91,867x = 141,962 × 141,962
  4. Step 4: Simplify right side
    91,867x = 20,153,209,444
  5. Step 5: Solve for x
    x = 20,153,209,444/91,867
  6. Step 6: Final answer
    x = 219,373.76

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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.