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Finding the Third Proportional to 108,279 and 157,497

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Solution

The third proportional to 108,279 and 157,497 is: 229,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,279 : 157,497 = 157,497 : x
  2. Step 2: Convert to fraction form
    108,279/157,497 = 157,497/x
  3. Step 3: Cross multiply
    108,279x = 157,497 × 157,497
  4. Step 4: Simplify right side
    108,279x = 24,805,305,009
  5. Step 5: Solve for x
    x = 24,805,305,009/108,279
  6. Step 6: Final answer
    x = 229,086.94

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.