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Finding the Third Proportional to 55,224 and 119,781

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Solution

The third proportional to 55,224 and 119,781 is: 259,805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,224 : 119,781 = 119,781 : x
  2. Step 2: Convert to fraction form
    55,224/119,781 = 119,781/x
  3. Step 3: Cross multiply
    55,224x = 119,781 × 119,781
  4. Step 4: Simplify right side
    55,224x = 14,347,487,961
  5. Step 5: Solve for x
    x = 14,347,487,961/55,224
  6. Step 6: Final answer
    x = 259,805.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.