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Finding the Third Proportional to 65,612 and 101,790

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Solution

The third proportional to 65,612 and 101,790 is: 157,916.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,612 : 101,790 = 101,790 : x
  2. Step 2: Convert to fraction form
    65,612/101,790 = 101,790/x
  3. Step 3: Cross multiply
    65,612x = 101,790 × 101,790
  4. Step 4: Simplify right side
    65,612x = 10,361,204,100
  5. Step 5: Solve for x
    x = 10,361,204,100/65,612
  6. Step 6: Final answer
    x = 157,916.30

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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.