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Finding the Third Proportional to 32,251.13 and 68,420.44

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Solution

The third proportional to 32,251.13 and 68,420.44 is: 145,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,251.13 : 68,420.44 = 68,420.44 : x
  2. Step 2: Convert to fraction form
    32,251.13/68,420.44 = 68,420.44/x
  3. Step 3: Cross multiply
    32,251.13x = 68,420.44 × 68,420.44
  4. Step 4: Simplify right side
    32,251.13x = 4,681,356,267.69
  5. Step 5: Solve for x
    x = 4,681,356,267.69/32,251.13
  6. Step 6: Final answer
    x = 145,153.27

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.