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Finding the Third Proportional to 57,284 and 135,441

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Solution

The third proportional to 57,284 and 135,441 is: 320,233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,284 : 135,441 = 135,441 : x
  2. Step 2: Convert to fraction form
    57,284/135,441 = 135,441/x
  3. Step 3: Cross multiply
    57,284x = 135,441 × 135,441
  4. Step 4: Simplify right side
    57,284x = 18,344,264,481
  5. Step 5: Solve for x
    x = 18,344,264,481/57,284
  6. Step 6: Final answer
    x = 320,233.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.