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Finding the Third Proportional to 98,189 and 141,566

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Solution

The third proportional to 98,189 and 141,566 is: 204,105.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,189 : 141,566 = 141,566 : x
  2. Step 2: Convert to fraction form
    98,189/141,566 = 141,566/x
  3. Step 3: Cross multiply
    98,189x = 141,566 × 141,566
  4. Step 4: Simplify right side
    98,189x = 20,040,932,356
  5. Step 5: Solve for x
    x = 20,040,932,356/98,189
  6. Step 6: Final answer
    x = 204,105.68

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.