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Finding the Third Proportional to 55,234 and 119,804

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Solution

The third proportional to 55,234 and 119,804 is: 259,858.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,234 : 119,804 = 119,804 : x
  2. Step 2: Convert to fraction form
    55,234/119,804 = 119,804/x
  3. Step 3: Cross multiply
    55,234x = 119,804 × 119,804
  4. Step 4: Simplify right side
    55,234x = 14,352,998,416
  5. Step 5: Solve for x
    x = 14,352,998,416/55,234
  6. Step 6: Final answer
    x = 259,858.03

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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.