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Finding the Third Proportional to 55,224 and 122,931

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Solution

The third proportional to 55,224 and 122,931 is: 273,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,224 : 122,931 = 122,931 : x
  2. Step 2: Convert to fraction form
    55,224/122,931 = 122,931/x
  3. Step 3: Cross multiply
    55,224x = 122,931 × 122,931
  4. Step 4: Simplify right side
    55,224x = 15,112,030,761
  5. Step 5: Solve for x
    x = 15,112,030,761/55,224
  6. Step 6: Final answer
    x = 273,649.70

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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.