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Finding the Third Proportional to 44,226 and 68,451

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Solution

The third proportional to 44,226 and 68,451 is: 105,945.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,226 : 68,451 = 68,451 : x
  2. Step 2: Convert to fraction form
    44,226/68,451 = 68,451/x
  3. Step 3: Cross multiply
    44,226x = 68,451 × 68,451
  4. Step 4: Simplify right side
    44,226x = 4,685,539,401
  5. Step 5: Solve for x
    x = 4,685,539,401/44,226
  6. Step 6: Final answer
    x = 105,945.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.