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Finding the Third Proportional to 68,405 and 109,280

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Solution

The third proportional to 68,405 and 109,280 is: 174,579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,405 : 109,280 = 109,280 : x
  2. Step 2: Convert to fraction form
    68,405/109,280 = 109,280/x
  3. Step 3: Cross multiply
    68,405x = 109,280 × 109,280
  4. Step 4: Simplify right side
    68,405x = 11,942,118,400
  5. Step 5: Solve for x
    x = 11,942,118,400/68,405
  6. Step 6: Final answer
    x = 174,579.61

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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.