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Finding the Third Proportional to 29,126 and 62,405

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Solution

The third proportional to 29,126 and 62,405 is: 133,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,126 : 62,405 = 62,405 : x
  2. Step 2: Convert to fraction form
    29,126/62,405 = 62,405/x
  3. Step 3: Cross multiply
    29,126x = 62,405 × 62,405
  4. Step 4: Simplify right side
    29,126x = 3,894,384,025
  5. Step 5: Solve for x
    x = 3,894,384,025/29,126
  6. Step 6: Final answer
    x = 133,708.17

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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.