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Finding the Third Proportional to 53,529 and 115,338

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Solution

The third proportional to 53,529 and 115,338 is: 248,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,529 : 115,338 = 115,338 : x
  2. Step 2: Convert to fraction form
    53,529/115,338 = 115,338/x
  3. Step 3: Cross multiply
    53,529x = 115,338 × 115,338
  4. Step 4: Simplify right side
    53,529x = 13,302,854,244
  5. Step 5: Solve for x
    x = 13,302,854,244/53,529
  6. Step 6: Final answer
    x = 248,516.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.