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Finding the Third Proportional to 52,249 and 113,822

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Solution

The third proportional to 52,249 and 113,822 is: 247,955.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,249 : 113,822 = 113,822 : x
  2. Step 2: Convert to fraction form
    52,249/113,822 = 113,822/x
  3. Step 3: Cross multiply
    52,249x = 113,822 × 113,822
  4. Step 4: Simplify right side
    52,249x = 12,955,447,684
  5. Step 5: Solve for x
    x = 12,955,447,684/52,249
  6. Step 6: Final answer
    x = 247,955.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.