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Finding the Third Proportional to 57,144 and 124,864

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Solution

The third proportional to 57,144 and 124,864 is: 272,837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,144 : 124,864 = 124,864 : x
  2. Step 2: Convert to fraction form
    57,144/124,864 = 124,864/x
  3. Step 3: Cross multiply
    57,144x = 124,864 × 124,864
  4. Step 4: Simplify right side
    57,144x = 15,591,018,496
  5. Step 5: Solve for x
    x = 15,591,018,496/57,144
  6. Step 6: Final answer
    x = 272,837.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.