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Finding the Third Proportional to 55,091 and 119,338

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Solution

The third proportional to 55,091 and 119,338 is: 258,509.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,091 : 119,338 = 119,338 : x
  2. Step 2: Convert to fraction form
    55,091/119,338 = 119,338/x
  3. Step 3: Cross multiply
    55,091x = 119,338 × 119,338
  4. Step 4: Simplify right side
    55,091x = 14,241,558,244
  5. Step 5: Solve for x
    x = 14,241,558,244/55,091
  6. Step 6: Final answer
    x = 258,509.71

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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.