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Finding the Third Proportional to 55,888 and 122,144

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Solution

The third proportional to 55,888 and 122,144 is: 266,947.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,888 : 122,144 = 122,144 : x
  2. Step 2: Convert to fraction form
    55,888/122,144 = 122,144/x
  3. Step 3: Cross multiply
    55,888x = 122,144 × 122,144
  4. Step 4: Simplify right side
    55,888x = 14,919,156,736
  5. Step 5: Solve for x
    x = 14,919,156,736/55,888
  6. Step 6: Final answer
    x = 266,947.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.