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Finding the Third Proportional to 103,296 and 159,614

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Solution

The third proportional to 103,296 and 159,614 is: 246,637.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,296 : 159,614 = 159,614 : x
  2. Step 2: Convert to fraction form
    103,296/159,614 = 159,614/x
  3. Step 3: Cross multiply
    103,296x = 159,614 × 159,614
  4. Step 4: Simplify right side
    103,296x = 25,476,628,996
  5. Step 5: Solve for x
    x = 25,476,628,996/103,296
  6. Step 6: Final answer
    x = 246,637.13

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.