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Finding the Third Proportional to 80,224 and 124,772

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Solution

The third proportional to 80,224 and 124,772 is: 194,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,224 : 124,772 = 124,772 : x
  2. Step 2: Convert to fraction form
    80,224/124,772 = 124,772/x
  3. Step 3: Cross multiply
    80,224x = 124,772 × 124,772
  4. Step 4: Simplify right side
    80,224x = 15,568,051,984
  5. Step 5: Solve for x
    x = 15,568,051,984/80,224
  6. Step 6: Final answer
    x = 194,057.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.