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Finding the Third Proportional to 56,016 and 122,208

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Solution

The third proportional to 56,016 and 122,208 is: 266,616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,016 : 122,208 = 122,208 : x
  2. Step 2: Convert to fraction form
    56,016/122,208 = 122,208/x
  3. Step 3: Cross multiply
    56,016x = 122,208 × 122,208
  4. Step 4: Simplify right side
    56,016x = 14,934,795,264
  5. Step 5: Solve for x
    x = 14,934,795,264/56,016
  6. Step 6: Final answer
    x = 266,616.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.