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Finding the Third Proportional to 52,478.50 and 113,249

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Solution

The third proportional to 52,478.50 and 113,249 is: 244,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,478.50 : 113,249 = 113,249 : x
  2. Step 2: Convert to fraction form
    52,478.50/113,249 = 113,249/x
  3. Step 3: Cross multiply
    52,478.50x = 113,249 × 113,249
  4. Step 4: Simplify right side
    52,478.50x = 12,825,336,001
  5. Step 5: Solve for x
    x = 12,825,336,001/52,478.50
  6. Step 6: Final answer
    x = 244,392.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.