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Finding the Third Proportional to 61,074 and 132,116

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Solution

The third proportional to 61,074 and 132,116 is: 285,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,074 : 132,116 = 132,116 : x
  2. Step 2: Convert to fraction form
    61,074/132,116 = 132,116/x
  3. Step 3: Cross multiply
    61,074x = 132,116 × 132,116
  4. Step 4: Simplify right side
    61,074x = 17,454,637,456
  5. Step 5: Solve for x
    x = 17,454,637,456/61,074
  6. Step 6: Final answer
    x = 285,794.90

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.