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Finding the Third Proportional to 57,418 and 123,141

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Solution

The third proportional to 57,418 and 123,141 is: 264,093.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,418 : 123,141 = 123,141 : x
  2. Step 2: Convert to fraction form
    57,418/123,141 = 123,141/x
  3. Step 3: Cross multiply
    57,418x = 123,141 × 123,141
  4. Step 4: Simplify right side
    57,418x = 15,163,705,881
  5. Step 5: Solve for x
    x = 15,163,705,881/57,418
  6. Step 6: Final answer
    x = 264,093.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.