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Finding the Third Proportional to 69,344 and 141,976

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Solution

The third proportional to 69,344 and 141,976 is: 290,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,344 : 141,976 = 141,976 : x
  2. Step 2: Convert to fraction form
    69,344/141,976 = 141,976/x
  3. Step 3: Cross multiply
    69,344x = 141,976 × 141,976
  4. Step 4: Simplify right side
    69,344x = 20,157,184,576
  5. Step 5: Solve for x
    x = 20,157,184,576/69,344
  6. Step 6: Final answer
    x = 290,683.90

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.