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Finding the Third Proportional to 52,750 and 113,823

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Solution

The third proportional to 52,750 and 113,823 is: 245,605.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,750 : 113,823 = 113,823 : x
  2. Step 2: Convert to fraction form
    52,750/113,823 = 113,823/x
  3. Step 3: Cross multiply
    52,750x = 113,823 × 113,823
  4. Step 4: Simplify right side
    52,750x = 12,955,675,329
  5. Step 5: Solve for x
    x = 12,955,675,329/52,750
  6. Step 6: Final answer
    x = 245,605.22

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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.