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Finding the Third Proportional to 57,111 and 122,727

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Solution

The third proportional to 57,111 and 122,727 is: 263,730.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,111 : 122,727 = 122,727 : x
  2. Step 2: Convert to fraction form
    57,111/122,727 = 122,727/x
  3. Step 3: Cross multiply
    57,111x = 122,727 × 122,727
  4. Step 4: Simplify right side
    57,111x = 15,061,916,529
  5. Step 5: Solve for x
    x = 15,061,916,529/57,111
  6. Step 6: Final answer
    x = 263,730.57

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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.