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Finding the Third Proportional to 29,903 and 68,924

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Solution

The third proportional to 29,903 and 68,924 is: 158,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,903 : 68,924 = 68,924 : x
  2. Step 2: Convert to fraction form
    29,903/68,924 = 68,924/x
  3. Step 3: Cross multiply
    29,903x = 68,924 × 68,924
  4. Step 4: Simplify right side
    29,903x = 4,750,517,776
  5. Step 5: Solve for x
    x = 4,750,517,776/29,903
  6. Step 6: Final answer
    x = 158,864.25

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.