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Finding the Third Proportional to 59,224 and 127,232

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Solution

The third proportional to 59,224 and 127,232 is: 273,334.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,224 : 127,232 = 127,232 : x
  2. Step 2: Convert to fraction form
    59,224/127,232 = 127,232/x
  3. Step 3: Cross multiply
    59,224x = 127,232 × 127,232
  4. Step 4: Simplify right side
    59,224x = 16,187,981,824
  5. Step 5: Solve for x
    x = 16,187,981,824/59,224
  6. Step 6: Final answer
    x = 273,334.83

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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.