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Finding the Third Proportional to 57,800 and 124,222

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Solution

The third proportional to 57,800 and 124,222 is: 266,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,800 : 124,222 = 124,222 : x
  2. Step 2: Convert to fraction form
    57,800/124,222 = 124,222/x
  3. Step 3: Cross multiply
    57,800x = 124,222 × 124,222
  4. Step 4: Simplify right side
    57,800x = 15,431,105,284
  5. Step 5: Solve for x
    x = 15,431,105,284/57,800
  6. Step 6: Final answer
    x = 266,974.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.