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Finding the Third Proportional to 48,938 and 113,392

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Solution

The third proportional to 48,938 and 113,392 is: 262,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,938 : 113,392 = 113,392 : x
  2. Step 2: Convert to fraction form
    48,938/113,392 = 113,392/x
  3. Step 3: Cross multiply
    48,938x = 113,392 × 113,392
  4. Step 4: Simplify right side
    48,938x = 12,857,745,664
  5. Step 5: Solve for x
    x = 12,857,745,664/48,938
  6. Step 6: Final answer
    x = 262,735.41

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.