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Finding the Third Proportional to 60,296 and 132,622

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Solution

The third proportional to 60,296 and 132,622 is: 291,704.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,296 : 132,622 = 132,622 : x
  2. Step 2: Convert to fraction form
    60,296/132,622 = 132,622/x
  3. Step 3: Cross multiply
    60,296x = 132,622 × 132,622
  4. Step 4: Simplify right side
    60,296x = 17,588,594,884
  5. Step 5: Solve for x
    x = 17,588,594,884/60,296
  6. Step 6: Final answer
    x = 291,704.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.