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Finding the Third Proportional to 103,682 and 149,862

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Solution

The third proportional to 103,682 and 149,862 is: 216,610.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,682 : 149,862 = 149,862 : x
  2. Step 2: Convert to fraction form
    103,682/149,862 = 149,862/x
  3. Step 3: Cross multiply
    103,682x = 149,862 × 149,862
  4. Step 4: Simplify right side
    103,682x = 22,458,619,044
  5. Step 5: Solve for x
    x = 22,458,619,044/103,682
  6. Step 6: Final answer
    x = 216,610.59

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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.