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Finding the Third Proportional to 51,316 and 111,920

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Solution

The third proportional to 51,316 and 111,920 is: 244,097.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,316 : 111,920 = 111,920 : x
  2. Step 2: Convert to fraction form
    51,316/111,920 = 111,920/x
  3. Step 3: Cross multiply
    51,316x = 111,920 × 111,920
  4. Step 4: Simplify right side
    51,316x = 12,526,086,400
  5. Step 5: Solve for x
    x = 12,526,086,400/51,316
  6. Step 6: Final answer
    x = 244,097.09

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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.