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Finding the Third Proportional to 60,806 and 132,790

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Solution

The third proportional to 60,806 and 132,790 is: 289,990.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,806 : 132,790 = 132,790 : x
  2. Step 2: Convert to fraction form
    60,806/132,790 = 132,790/x
  3. Step 3: Cross multiply
    60,806x = 132,790 × 132,790
  4. Step 4: Simplify right side
    60,806x = 17,633,184,100
  5. Step 5: Solve for x
    x = 17,633,184,100/60,806
  6. Step 6: Final answer
    x = 289,990.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.