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Finding the Third Proportional to 67,141 and 146,269

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Solution

The third proportional to 67,141 and 146,269 is: 318,652.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,141 : 146,269 = 146,269 : x
  2. Step 2: Convert to fraction form
    67,141/146,269 = 146,269/x
  3. Step 3: Cross multiply
    67,141x = 146,269 × 146,269
  4. Step 4: Simplify right side
    67,141x = 21,394,620,361
  5. Step 5: Solve for x
    x = 21,394,620,361/67,141
  6. Step 6: Final answer
    x = 318,652.10

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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.