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Finding the Third Proportional to 29,120 and 62,395

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Solution

The third proportional to 29,120 and 62,395 is: 133,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,120 : 62,395 = 62,395 : x
  2. Step 2: Convert to fraction form
    29,120/62,395 = 62,395/x
  3. Step 3: Cross multiply
    29,120x = 62,395 × 62,395
  4. Step 4: Simplify right side
    29,120x = 3,893,136,025
  5. Step 5: Solve for x
    x = 3,893,136,025/29,120
  6. Step 6: Final answer
    x = 133,692.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.