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Finding the Third Proportional to 44,512 and 105,074

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Solution

The third proportional to 44,512 and 105,074 is: 248,035.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,512 : 105,074 = 105,074 : x
  2. Step 2: Convert to fraction form
    44,512/105,074 = 105,074/x
  3. Step 3: Cross multiply
    44,512x = 105,074 × 105,074
  4. Step 4: Simplify right side
    44,512x = 11,040,545,476
  5. Step 5: Solve for x
    x = 11,040,545,476/44,512
  6. Step 6: Final answer
    x = 248,035.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.