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Finding the Third Proportional to 68,406 and 109,281

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Solution

The third proportional to 68,406 and 109,281 is: 174,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,406 : 109,281 = 109,281 : x
  2. Step 2: Convert to fraction form
    68,406/109,281 = 109,281/x
  3. Step 3: Cross multiply
    68,406x = 109,281 × 109,281
  4. Step 4: Simplify right side
    68,406x = 11,942,336,961
  5. Step 5: Solve for x
    x = 11,942,336,961/68,406
  6. Step 6: Final answer
    x = 174,580.26

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