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Finding the Third Proportional to 73,904 and 110,743

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Solution

The third proportional to 73,904 and 110,743 is: 165,945.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,904 : 110,743 = 110,743 : x
  2. Step 2: Convert to fraction form
    73,904/110,743 = 110,743/x
  3. Step 3: Cross multiply
    73,904x = 110,743 × 110,743
  4. Step 4: Simplify right side
    73,904x = 12,264,012,049
  5. Step 5: Solve for x
    x = 12,264,012,049/73,904
  6. Step 6: Final answer
    x = 165,945.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.