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Finding the Third Proportional to 55,116 and 119,571

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Solution

The third proportional to 55,116 and 119,571 is: 259,402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,116 : 119,571 = 119,571 : x
  2. Step 2: Convert to fraction form
    55,116/119,571 = 119,571/x
  3. Step 3: Cross multiply
    55,116x = 119,571 × 119,571
  4. Step 4: Simplify right side
    55,116x = 14,297,224,041
  5. Step 5: Solve for x
    x = 14,297,224,041/55,116
  6. Step 6: Final answer
    x = 259,402.42

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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.