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Finding the Third Proportional to 56,962 and 122,356

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Solution

The third proportional to 56,962 and 122,356 is: 262,824.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,962 : 122,356 = 122,356 : x
  2. Step 2: Convert to fraction form
    56,962/122,356 = 122,356/x
  3. Step 3: Cross multiply
    56,962x = 122,356 × 122,356
  4. Step 4: Simplify right side
    56,962x = 14,970,990,736
  5. Step 5: Solve for x
    x = 14,970,990,736/56,962
  6. Step 6: Final answer
    x = 262,824.18

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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.