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Finding the Third Proportional to 52,884.50 and 113,148.75

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Solution

The third proportional to 52,884.50 and 113,148.75 is: 242,086.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,884.50 : 113,148.75 = 113,148.75 : x
  2. Step 2: Convert to fraction form
    52,884.50/113,148.75 = 113,148.75/x
  3. Step 3: Cross multiply
    52,884.50x = 113,148.75 × 113,148.75
  4. Step 4: Simplify right side
    52,884.50x = 12,802,639,626.56
  5. Step 5: Solve for x
    x = 12,802,639,626.56/52,884.50
  6. Step 6: Final answer
    x = 242,086.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.