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Finding the Third Proportional to 67,008 and 141,504

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Solution

The third proportional to 67,008 and 141,504 is: 298,820.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,008 : 141,504 = 141,504 : x
  2. Step 2: Convert to fraction form
    67,008/141,504 = 141,504/x
  3. Step 3: Cross multiply
    67,008x = 141,504 × 141,504
  4. Step 4: Simplify right side
    67,008x = 20,023,382,016
  5. Step 5: Solve for x
    x = 20,023,382,016/67,008
  6. Step 6: Final answer
    x = 298,820.77

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.