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Finding the Third Proportional to 44,224 and 93,568

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Solution

The third proportional to 44,224 and 93,568 is: 197,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,224 : 93,568 = 93,568 : x
  2. Step 2: Convert to fraction form
    44,224/93,568 = 93,568/x
  3. Step 3: Cross multiply
    44,224x = 93,568 × 93,568
  4. Step 4: Simplify right side
    44,224x = 8,754,970,624
  5. Step 5: Solve for x
    x = 8,754,970,624/44,224
  6. Step 6: Final answer
    x = 197,968.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.