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Finding the Third Proportional to 67,135 and 146,252

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Solution

The third proportional to 67,135 and 146,252 is: 318,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,135 : 146,252 = 146,252 : x
  2. Step 2: Convert to fraction form
    67,135/146,252 = 146,252/x
  3. Step 3: Cross multiply
    67,135x = 146,252 × 146,252
  4. Step 4: Simplify right side
    67,135x = 21,389,647,504
  5. Step 5: Solve for x
    x = 21,389,647,504/67,135
  6. Step 6: Final answer
    x = 318,606.50

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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.