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Finding the Third Proportional to 67,348 and 104,568

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Solution

The third proportional to 67,348 and 104,568 is: 162,357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,348 : 104,568 = 104,568 : x
  2. Step 2: Convert to fraction form
    67,348/104,568 = 104,568/x
  3. Step 3: Cross multiply
    67,348x = 104,568 × 104,568
  4. Step 4: Simplify right side
    67,348x = 10,934,466,624
  5. Step 5: Solve for x
    x = 10,934,466,624/67,348
  6. Step 6: Final answer
    x = 162,357.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.