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Finding the Third Proportional to 68,408.25 and 109,281

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Solution

The third proportional to 68,408.25 and 109,281 is: 174,574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,408.25 : 109,281 = 109,281 : x
  2. Step 2: Convert to fraction form
    68,408.25/109,281 = 109,281/x
  3. Step 3: Cross multiply
    68,408.25x = 109,281 × 109,281
  4. Step 4: Simplify right side
    68,408.25x = 11,942,336,961
  5. Step 5: Solve for x
    x = 11,942,336,961/68,408.25
  6. Step 6: Final answer
    x = 174,574.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.