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Finding the Third Proportional to 29,206 and 61,330

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Solution

The third proportional to 29,206 and 61,330 is: 128,787.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,206 : 61,330 = 61,330 : x
  2. Step 2: Convert to fraction form
    29,206/61,330 = 61,330/x
  3. Step 3: Cross multiply
    29,206x = 61,330 × 61,330
  4. Step 4: Simplify right side
    29,206x = 3,761,368,900
  5. Step 5: Solve for x
    x = 3,761,368,900/29,206
  6. Step 6: Final answer
    x = 128,787.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.