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Finding the Third Proportional to 52,202 and 111,244

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Solution

The third proportional to 52,202 and 111,244 is: 237,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,202 : 111,244 = 111,244 : x
  2. Step 2: Convert to fraction form
    52,202/111,244 = 111,244/x
  3. Step 3: Cross multiply
    52,202x = 111,244 × 111,244
  4. Step 4: Simplify right side
    52,202x = 12,375,227,536
  5. Step 5: Solve for x
    x = 12,375,227,536/52,202
  6. Step 6: Final answer
    x = 237,064.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.