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Finding the Third Proportional to 52,982.25 and 79,474.50

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Solution

The third proportional to 52,982.25 and 79,474.50 is: 119,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,982.25 : 79,474.50 = 79,474.50 : x
  2. Step 2: Convert to fraction form
    52,982.25/79,474.50 = 79,474.50/x
  3. Step 3: Cross multiply
    52,982.25x = 79,474.50 × 79,474.50
  4. Step 4: Simplify right side
    52,982.25x = 6,316,196,150.25
  5. Step 5: Solve for x
    x = 6,316,196,150.25/52,982.25
  6. Step 6: Final answer
    x = 119,213.44

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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.