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Finding the Third Proportional to 56,492 and 111,568

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Solution

The third proportional to 56,492 and 111,568 is: 220,339.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,492 : 111,568 = 111,568 : x
  2. Step 2: Convert to fraction form
    56,492/111,568 = 111,568/x
  3. Step 3: Cross multiply
    56,492x = 111,568 × 111,568
  4. Step 4: Simplify right side
    56,492x = 12,447,418,624
  5. Step 5: Solve for x
    x = 12,447,418,624/56,492
  6. Step 6: Final answer
    x = 220,339.49

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.