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Finding the Third Proportional to 69,721 and 143,116

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Solution

The third proportional to 69,721 and 143,116 is: 293,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,721 : 143,116 = 143,116 : x
  2. Step 2: Convert to fraction form
    69,721/143,116 = 143,116/x
  3. Step 3: Cross multiply
    69,721x = 143,116 × 143,116
  4. Step 4: Simplify right side
    69,721x = 20,482,189,456
  5. Step 5: Solve for x
    x = 20,482,189,456/69,721
  6. Step 6: Final answer
    x = 293,773.60

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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.