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Finding the Third Proportional to 51,904 and 73,967

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Solution

The third proportional to 51,904 and 73,967 is: 105,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,904 : 73,967 = 73,967 : x
  2. Step 2: Convert to fraction form
    51,904/73,967 = 73,967/x
  3. Step 3: Cross multiply
    51,904x = 73,967 × 73,967
  4. Step 4: Simplify right side
    51,904x = 5,471,117,089
  5. Step 5: Solve for x
    x = 5,471,117,089/51,904
  6. Step 6: Final answer
    x = 105,408.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.