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Finding the Third Proportional to 68,066 and 144,214

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Solution

The third proportional to 68,066 and 144,214 is: 305,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,066 : 144,214 = 144,214 : x
  2. Step 2: Convert to fraction form
    68,066/144,214 = 144,214/x
  3. Step 3: Cross multiply
    68,066x = 144,214 × 144,214
  4. Step 4: Simplify right side
    68,066x = 20,797,677,796
  5. Step 5: Solve for x
    x = 20,797,677,796/68,066
  6. Step 6: Final answer
    x = 305,551.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.