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Finding the Third Proportional to 51,164 and 110,912

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Solution

The third proportional to 51,164 and 110,912 is: 240,432.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,164 : 110,912 = 110,912 : x
  2. Step 2: Convert to fraction form
    51,164/110,912 = 110,912/x
  3. Step 3: Cross multiply
    51,164x = 110,912 × 110,912
  4. Step 4: Simplify right side
    51,164x = 12,301,471,744
  5. Step 5: Solve for x
    x = 12,301,471,744/51,164
  6. Step 6: Final answer
    x = 240,432.17

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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.