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Finding the Third Proportional to 103,683 and 158,801

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Solution

The third proportional to 103,683 and 158,801 is: 243,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,683 : 158,801 = 158,801 : x
  2. Step 2: Convert to fraction form
    103,683/158,801 = 158,801/x
  3. Step 3: Cross multiply
    103,683x = 158,801 × 158,801
  4. Step 4: Simplify right side
    103,683x = 25,217,757,601
  5. Step 5: Solve for x
    x = 25,217,757,601/103,683
  6. Step 6: Final answer
    x = 243,219.79

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.