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Finding the Third Proportional to 101,224 and 140,356

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Solution

The third proportional to 101,224 and 140,356 is: 194,615.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,224 : 140,356 = 140,356 : x
  2. Step 2: Convert to fraction form
    101,224/140,356 = 140,356/x
  3. Step 3: Cross multiply
    101,224x = 140,356 × 140,356
  4. Step 4: Simplify right side
    101,224x = 19,699,806,736
  5. Step 5: Solve for x
    x = 19,699,806,736/101,224
  6. Step 6: Final answer
    x = 194,615.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.