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Finding the Third Proportional to 83,673 and 181,224

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Solution

The third proportional to 83,673 and 181,224 is: 392,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,673 : 181,224 = 181,224 : x
  2. Step 2: Convert to fraction form
    83,673/181,224 = 181,224/x
  3. Step 3: Cross multiply
    83,673x = 181,224 × 181,224
  4. Step 4: Simplify right side
    83,673x = 32,842,138,176
  5. Step 5: Solve for x
    x = 32,842,138,176/83,673
  6. Step 6: Final answer
    x = 392,505.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.