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Finding the Third Proportional to 55,224 and 122,940

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Solution

The third proportional to 55,224 and 122,940 is: 273,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,224 : 122,940 = 122,940 : x
  2. Step 2: Convert to fraction form
    55,224/122,940 = 122,940/x
  3. Step 3: Cross multiply
    55,224x = 122,940 × 122,940
  4. Step 4: Simplify right side
    55,224x = 15,114,243,600
  5. Step 5: Solve for x
    x = 15,114,243,600/55,224
  6. Step 6: Final answer
    x = 273,689.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.