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Finding the Third Proportional to 59,018 and 127,876

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Solution

The third proportional to 59,018 and 127,876 is: 277,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,018 : 127,876 = 127,876 : x
  2. Step 2: Convert to fraction form
    59,018/127,876 = 127,876/x
  3. Step 3: Cross multiply
    59,018x = 127,876 × 127,876
  4. Step 4: Simplify right side
    59,018x = 16,352,271,376
  5. Step 5: Solve for x
    x = 16,352,271,376/59,018
  6. Step 6: Final answer
    x = 277,072.61

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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.