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Finding the Third Proportional to 52,900 and 115,296

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Solution

The third proportional to 52,900 and 115,296 is: 251,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,900 : 115,296 = 115,296 : x
  2. Step 2: Convert to fraction form
    52,900/115,296 = 115,296/x
  3. Step 3: Cross multiply
    52,900x = 115,296 × 115,296
  4. Step 4: Simplify right side
    52,900x = 13,293,167,616
  5. Step 5: Solve for x
    x = 13,293,167,616/52,900
  6. Step 6: Final answer
    x = 251,288.61

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Why These Related Problems?

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