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Finding the Third Proportional to 56,942 and 122,306

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Solution

The third proportional to 56,942 and 122,306 is: 262,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,942 : 122,306 = 122,306 : x
  2. Step 2: Convert to fraction form
    56,942/122,306 = 122,306/x
  3. Step 3: Cross multiply
    56,942x = 122,306 × 122,306
  4. Step 4: Simplify right side
    56,942x = 14,958,757,636
  5. Step 5: Solve for x
    x = 14,958,757,636/56,942
  6. Step 6: Final answer
    x = 262,701.65

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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.