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Finding the Third Proportional to 52,900 and 115,508

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Solution

The third proportional to 52,900 and 115,508 is: 252,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,900 : 115,508 = 115,508 : x
  2. Step 2: Convert to fraction form
    52,900/115,508 = 115,508/x
  3. Step 3: Cross multiply
    52,900x = 115,508 × 115,508
  4. Step 4: Simplify right side
    52,900x = 13,342,098,064
  5. Step 5: Solve for x
    x = 13,342,098,064/52,900
  6. Step 6: Final answer
    x = 252,213.57

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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.