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Finding the Third Proportional to 55,116 and 119,388

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Solution

The third proportional to 55,116 and 119,388 is: 258,609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,116 : 119,388 = 119,388 : x
  2. Step 2: Convert to fraction form
    55,116/119,388 = 119,388/x
  3. Step 3: Cross multiply
    55,116x = 119,388 × 119,388
  4. Step 4: Simplify right side
    55,116x = 14,253,494,544
  5. Step 5: Solve for x
    x = 14,253,494,544/55,116
  6. Step 6: Final answer
    x = 258,609.02

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