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Finding the Third Proportional to 55,119 and 119,634

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Solution

The third proportional to 55,119 and 119,634 is: 259,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,119 : 119,634 = 119,634 : x
  2. Step 2: Convert to fraction form
    55,119/119,634 = 119,634/x
  3. Step 3: Cross multiply
    55,119x = 119,634 × 119,634
  4. Step 4: Simplify right side
    55,119x = 14,312,293,956
  5. Step 5: Solve for x
    x = 14,312,293,956/55,119
  6. Step 6: Final answer
    x = 259,661.71

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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.