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Finding the Third Proportional to 68,286 and 149,026

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Solution

The third proportional to 68,286 and 149,026 is: 325,231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,286 : 149,026 = 149,026 : x
  2. Step 2: Convert to fraction form
    68,286/149,026 = 149,026/x
  3. Step 3: Cross multiply
    68,286x = 149,026 × 149,026
  4. Step 4: Simplify right side
    68,286x = 22,208,748,676
  5. Step 5: Solve for x
    x = 22,208,748,676/68,286
  6. Step 6: Final answer
    x = 325,231.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.