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Finding the Third Proportional to 68,978 and 150,871

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Solution

The third proportional to 68,978 and 150,871 is: 329,990.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,978 : 150,871 = 150,871 : x
  2. Step 2: Convert to fraction form
    68,978/150,871 = 150,871/x
  3. Step 3: Cross multiply
    68,978x = 150,871 × 150,871
  4. Step 4: Simplify right side
    68,978x = 22,762,058,641
  5. Step 5: Solve for x
    x = 22,762,058,641/68,978
  6. Step 6: Final answer
    x = 329,990.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.