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Finding the Third Proportional to 57,298 and 124,424

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Solution

The third proportional to 57,298 and 124,424 is: 270,189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,298 : 124,424 = 124,424 : x
  2. Step 2: Convert to fraction form
    57,298/124,424 = 124,424/x
  3. Step 3: Cross multiply
    57,298x = 124,424 × 124,424
  4. Step 4: Simplify right side
    57,298x = 15,481,331,776
  5. Step 5: Solve for x
    x = 15,481,331,776/57,298
  6. Step 6: Final answer
    x = 270,189.74

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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.