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Finding the Third Proportional to 43,328 and 93,568

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Solution

The third proportional to 43,328 and 93,568 is: 202,062.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,328 : 93,568 = 93,568 : x
  2. Step 2: Convert to fraction form
    43,328/93,568 = 93,568/x
  3. Step 3: Cross multiply
    43,328x = 93,568 × 93,568
  4. Step 4: Simplify right side
    43,328x = 8,754,970,624
  5. Step 5: Solve for x
    x = 8,754,970,624/43,328
  6. Step 6: Final answer
    x = 202,062.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.