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Finding the Third Proportional to 25,197 and 55,182

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Solution

The third proportional to 25,197 and 55,182 is: 120,849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,197 : 55,182 = 55,182 : x
  2. Step 2: Convert to fraction form
    25,197/55,182 = 55,182/x
  3. Step 3: Cross multiply
    25,197x = 55,182 × 55,182
  4. Step 4: Simplify right side
    25,197x = 3,045,053,124
  5. Step 5: Solve for x
    x = 3,045,053,124/25,197
  6. Step 6: Final answer
    x = 120,849.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.