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Finding the Third Proportional to 29,198 and 64,048

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Solution

The third proportional to 29,198 and 64,048 is: 140,494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,198 : 64,048 = 64,048 : x
  2. Step 2: Convert to fraction form
    29,198/64,048 = 64,048/x
  3. Step 3: Cross multiply
    29,198x = 64,048 × 64,048
  4. Step 4: Simplify right side
    29,198x = 4,102,146,304
  5. Step 5: Solve for x
    x = 4,102,146,304/29,198
  6. Step 6: Final answer
    x = 140,494.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.