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Finding the Third Proportional to 45,110 and 103,967

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Solution

The third proportional to 45,110 and 103,967 is: 239,617.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,110 : 103,967 = 103,967 : x
  2. Step 2: Convert to fraction form
    45,110/103,967 = 103,967/x
  3. Step 3: Cross multiply
    45,110x = 103,967 × 103,967
  4. Step 4: Simplify right side
    45,110x = 10,809,137,089
  5. Step 5: Solve for x
    x = 10,809,137,089/45,110
  6. Step 6: Final answer
    x = 239,617.32

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.