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Finding the Third Proportional to 103,682 and 146,683

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Solution

The third proportional to 103,682 and 146,683 is: 207,518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,682 : 146,683 = 146,683 : x
  2. Step 2: Convert to fraction form
    103,682/146,683 = 146,683/x
  3. Step 3: Cross multiply
    103,682x = 146,683 × 146,683
  4. Step 4: Simplify right side
    103,682x = 21,515,902,489
  5. Step 5: Solve for x
    x = 21,515,902,489/103,682
  6. Step 6: Final answer
    x = 207,518.20

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.