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Finding the Third Proportional to 52,389 and 113,083

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Solution

The third proportional to 52,389 and 113,083 is: 244,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,389 : 113,083 = 113,083 : x
  2. Step 2: Convert to fraction form
    52,389/113,083 = 113,083/x
  3. Step 3: Cross multiply
    52,389x = 113,083 × 113,083
  4. Step 4: Simplify right side
    52,389x = 12,787,764,889
  5. Step 5: Solve for x
    x = 12,787,764,889/52,389
  6. Step 6: Final answer
    x = 244,092.56

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Why These Related Problems?

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