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Finding the Third Proportional to 59,000 and 127,846

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Solution

The third proportional to 59,000 and 127,846 is: 277,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,000 : 127,846 = 127,846 : x
  2. Step 2: Convert to fraction form
    59,000/127,846 = 127,846/x
  3. Step 3: Cross multiply
    59,000x = 127,846 × 127,846
  4. Step 4: Simplify right side
    59,000x = 16,344,599,716
  5. Step 5: Solve for x
    x = 16,344,599,716/59,000
  6. Step 6: Final answer
    x = 277,027.11

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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.