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Finding the Third Proportional to 57,147 and 124,122

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Solution

The third proportional to 57,147 and 124,122 is: 269,590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,147 : 124,122 = 124,122 : x
  2. Step 2: Convert to fraction form
    57,147/124,122 = 124,122/x
  3. Step 3: Cross multiply
    57,147x = 124,122 × 124,122
  4. Step 4: Simplify right side
    57,147x = 15,406,270,884
  5. Step 5: Solve for x
    x = 15,406,270,884/57,147
  6. Step 6: Final answer
    x = 269,590.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.