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Finding the Third Proportional to 54,314 and 113,593

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Solution

The third proportional to 54,314 and 113,593 is: 237,569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,314 : 113,593 = 113,593 : x
  2. Step 2: Convert to fraction form
    54,314/113,593 = 113,593/x
  3. Step 3: Cross multiply
    54,314x = 113,593 × 113,593
  4. Step 4: Simplify right side
    54,314x = 12,903,369,649
  5. Step 5: Solve for x
    x = 12,903,369,649/54,314
  6. Step 6: Final answer
    x = 237,569.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.