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Finding the Third Proportional to 59,203 and 127,190

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Solution

The third proportional to 59,203 and 127,190 is: 273,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,203 : 127,190 = 127,190 : x
  2. Step 2: Convert to fraction form
    59,203/127,190 = 127,190/x
  3. Step 3: Cross multiply
    59,203x = 127,190 × 127,190
  4. Step 4: Simplify right side
    59,203x = 16,177,296,100
  5. Step 5: Solve for x
    x = 16,177,296,100/59,203
  6. Step 6: Final answer
    x = 273,251.29

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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.