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Finding the Third Proportional to 59,210 and 127,204

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Solution

The third proportional to 59,210 and 127,204 is: 273,279.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,210 : 127,204 = 127,204 : x
  2. Step 2: Convert to fraction form
    59,210/127,204 = 127,204/x
  3. Step 3: Cross multiply
    59,210x = 127,204 × 127,204
  4. Step 4: Simplify right side
    59,210x = 16,180,857,616
  5. Step 5: Solve for x
    x = 16,180,857,616/59,210
  6. Step 6: Final answer
    x = 273,279.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.