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Finding the Third Proportional to 54,897 and 119,865

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Solution

The third proportional to 54,897 and 119,865 is: 261,719.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,897 : 119,865 = 119,865 : x
  2. Step 2: Convert to fraction form
    54,897/119,865 = 119,865/x
  3. Step 3: Cross multiply
    54,897x = 119,865 × 119,865
  4. Step 4: Simplify right side
    54,897x = 14,367,618,225
  5. Step 5: Solve for x
    x = 14,367,618,225/54,897
  6. Step 6: Final answer
    x = 261,719.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.