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Finding the Third Proportional to 68,419.13 and 102,354.75

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Solution

The third proportional to 68,419.13 and 102,354.75 is: 153,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,419.13 : 102,354.75 = 102,354.75 : x
  2. Step 2: Convert to fraction form
    68,419.13/102,354.75 = 102,354.75/x
  3. Step 3: Cross multiply
    68,419.13x = 102,354.75 × 102,354.75
  4. Step 4: Simplify right side
    68,419.13x = 10,476,494,847.56
  5. Step 5: Solve for x
    x = 10,476,494,847.56/68,419.13
  6. Step 6: Final answer
    x = 153,122.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.