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Finding the Third Proportional to 57,161 and 123,862

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Solution

The third proportional to 57,161 and 123,862 is: 268,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,161 : 123,862 = 123,862 : x
  2. Step 2: Convert to fraction form
    57,161/123,862 = 123,862/x
  3. Step 3: Cross multiply
    57,161x = 123,862 × 123,862
  4. Step 4: Simplify right side
    57,161x = 15,341,795,044
  5. Step 5: Solve for x
    x = 15,341,795,044/57,161
  6. Step 6: Final answer
    x = 268,396.20

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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.