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Finding the Third Proportional to 60,524 and 128,257

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Solution

The third proportional to 60,524 and 128,257 is: 271,790.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,524 : 128,257 = 128,257 : x
  2. Step 2: Convert to fraction form
    60,524/128,257 = 128,257/x
  3. Step 3: Cross multiply
    60,524x = 128,257 × 128,257
  4. Step 4: Simplify right side
    60,524x = 16,449,858,049
  5. Step 5: Solve for x
    x = 16,449,858,049/60,524
  6. Step 6: Final answer
    x = 271,790.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.