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Finding the Third Proportional to 59,105 and 128,257

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Solution

The third proportional to 59,105 and 128,257 is: 278,315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,105 : 128,257 = 128,257 : x
  2. Step 2: Convert to fraction form
    59,105/128,257 = 128,257/x
  3. Step 3: Cross multiply
    59,105x = 128,257 × 128,257
  4. Step 4: Simplify right side
    59,105x = 16,449,858,049
  5. Step 5: Solve for x
    x = 16,449,858,049/59,105
  6. Step 6: Final answer
    x = 278,315.85

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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.