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Finding the Third Proportional to 29,105 and 62,026

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Solution

The third proportional to 29,105 and 62,026 is: 132,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,105 : 62,026 = 62,026 : x
  2. Step 2: Convert to fraction form
    29,105/62,026 = 62,026/x
  3. Step 3: Cross multiply
    29,105x = 62,026 × 62,026
  4. Step 4: Simplify right side
    29,105x = 3,847,224,676
  5. Step 5: Solve for x
    x = 3,847,224,676/29,105
  6. Step 6: Final answer
    x = 132,184.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.