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Finding the Third Proportional to 67,124 and 146,096

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Solution

The third proportional to 67,124 and 146,096 is: 317,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,124 : 146,096 = 146,096 : x
  2. Step 2: Convert to fraction form
    67,124/146,096 = 146,096/x
  3. Step 3: Cross multiply
    67,124x = 146,096 × 146,096
  4. Step 4: Simplify right side
    67,124x = 21,344,041,216
  5. Step 5: Solve for x
    x = 21,344,041,216/67,124
  6. Step 6: Final answer
    x = 317,979.28

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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.