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Finding the Third Proportional to 52,378 and 113,123

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Solution

The third proportional to 52,378 and 113,123 is: 244,316.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,378 : 113,123 = 113,123 : x
  2. Step 2: Convert to fraction form
    52,378/113,123 = 113,123/x
  3. Step 3: Cross multiply
    52,378x = 113,123 × 113,123
  4. Step 4: Simplify right side
    52,378x = 12,796,813,129
  5. Step 5: Solve for x
    x = 12,796,813,129/52,378
  6. Step 6: Final answer
    x = 244,316.57

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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.