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Finding the Third Proportional to 29,116 and 62,682

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Solution

The third proportional to 29,116 and 62,682 is: 134,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,116 : 62,682 = 62,682 : x
  2. Step 2: Convert to fraction form
    29,116/62,682 = 62,682/x
  3. Step 3: Cross multiply
    29,116x = 62,682 × 62,682
  4. Step 4: Simplify right side
    29,116x = 3,929,033,124
  5. Step 5: Solve for x
    x = 3,929,033,124/29,116
  6. Step 6: Final answer
    x = 134,944.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.