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Finding the Third Proportional to 55,671 and 119,122

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Solution

The third proportional to 55,671 and 119,122 is: 254,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,671 : 119,122 = 119,122 : x
  2. Step 2: Convert to fraction form
    55,671/119,122 = 119,122/x
  3. Step 3: Cross multiply
    55,671x = 119,122 × 119,122
  4. Step 4: Simplify right side
    55,671x = 14,190,050,884
  5. Step 5: Solve for x
    x = 14,190,050,884/55,671
  6. Step 6: Final answer
    x = 254,891.25

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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.