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Finding the Third Proportional to 67,268 and 144,196

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Solution

The third proportional to 67,268 and 144,196 is: 309,099.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,268 : 144,196 = 144,196 : x
  2. Step 2: Convert to fraction form
    67,268/144,196 = 144,196/x
  3. Step 3: Cross multiply
    67,268x = 144,196 × 144,196
  4. Step 4: Simplify right side
    67,268x = 20,792,486,416
  5. Step 5: Solve for x
    x = 20,792,486,416/67,268
  6. Step 6: Final answer
    x = 309,099.22

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.