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Finding the Third Proportional to 51,219 and 104,967

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Solution

The third proportional to 51,219 and 104,967 is: 215,116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,219 : 104,967 = 104,967 : x
  2. Step 2: Convert to fraction form
    51,219/104,967 = 104,967/x
  3. Step 3: Cross multiply
    51,219x = 104,967 × 104,967
  4. Step 4: Simplify right side
    51,219x = 11,018,071,089
  5. Step 5: Solve for x
    x = 11,018,071,089/51,219
  6. Step 6: Final answer
    x = 215,116.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.