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Finding the Third Proportional to 55,673 and 119,126

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Solution

The third proportional to 55,673 and 119,126 is: 254,899.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,673 : 119,126 = 119,126 : x
  2. Step 2: Convert to fraction form
    55,673/119,126 = 119,126/x
  3. Step 3: Cross multiply
    55,673x = 119,126 × 119,126
  4. Step 4: Simplify right side
    55,673x = 14,191,003,876
  5. Step 5: Solve for x
    x = 14,191,003,876/55,673
  6. Step 6: Final answer
    x = 254,899.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.