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Finding the Third Proportional to 67,962 and 140,703

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Solution

The third proportional to 67,962 and 140,703 is: 291,300.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,962 : 140,703 = 140,703 : x
  2. Step 2: Convert to fraction form
    67,962/140,703 = 140,703/x
  3. Step 3: Cross multiply
    67,962x = 140,703 × 140,703
  4. Step 4: Simplify right side
    67,962x = 19,797,334,209
  5. Step 5: Solve for x
    x = 19,797,334,209/67,962
  6. Step 6: Final answer
    x = 291,300.05

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.