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Finding the Third Proportional to 59,224 and 126,589

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Solution

The third proportional to 59,224 and 126,589 is: 270,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,224 : 126,589 = 126,589 : x
  2. Step 2: Convert to fraction form
    59,224/126,589 = 126,589/x
  3. Step 3: Cross multiply
    59,224x = 126,589 × 126,589
  4. Step 4: Simplify right side
    59,224x = 16,024,774,921
  5. Step 5: Solve for x
    x = 16,024,774,921/59,224
  6. Step 6: Final answer
    x = 270,579.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.