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Finding the Third Proportional to 68,240.81 and 109,005.75

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Solution

The third proportional to 68,240.81 and 109,005.75 is: 174,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,240.81 : 109,005.75 = 109,005.75 : x
  2. Step 2: Convert to fraction form
    68,240.81/109,005.75 = 109,005.75/x
  3. Step 3: Cross multiply
    68,240.81x = 109,005.75 × 109,005.75
  4. Step 4: Simplify right side
    68,240.81x = 11,882,253,533.06
  5. Step 5: Solve for x
    x = 11,882,253,533.06/68,240.81
  6. Step 6: Final answer
    x = 174,122.39

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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.