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Finding the Third Proportional to 103,614 and 159,996

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Solution

The third proportional to 103,614 and 159,996 is: 247,058.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,614 : 159,996 = 159,996 : x
  2. Step 2: Convert to fraction form
    103,614/159,996 = 159,996/x
  3. Step 3: Cross multiply
    103,614x = 159,996 × 159,996
  4. Step 4: Simplify right side
    103,614x = 25,598,720,016
  5. Step 5: Solve for x
    x = 25,598,720,016/103,614
  6. Step 6: Final answer
    x = 247,058.51

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.