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Finding the Third Proportional to 65,529 and 98,187

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Solution

The third proportional to 65,529 and 98,187 is: 147,120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,529 : 98,187 = 98,187 : x
  2. Step 2: Convert to fraction form
    65,529/98,187 = 98,187/x
  3. Step 3: Cross multiply
    65,529x = 98,187 × 98,187
  4. Step 4: Simplify right side
    65,529x = 9,640,686,969
  5. Step 5: Solve for x
    x = 9,640,686,969/65,529
  6. Step 6: Final answer
    x = 147,120.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.