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Finding the Third Proportional to 57,302 and 123,379

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Solution

The third proportional to 57,302 and 123,379 is: 265,651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,302 : 123,379 = 123,379 : x
  2. Step 2: Convert to fraction form
    57,302/123,379 = 123,379/x
  3. Step 3: Cross multiply
    57,302x = 123,379 × 123,379
  4. Step 4: Simplify right side
    57,302x = 15,222,377,641
  5. Step 5: Solve for x
    x = 15,222,377,641/57,302
  6. Step 6: Final answer
    x = 265,651.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.