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Finding the Third Proportional to 52,844 and 115,489

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Solution

The third proportional to 52,844 and 115,489 is: 252,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,844 : 115,489 = 115,489 : x
  2. Step 2: Convert to fraction form
    52,844/115,489 = 115,489/x
  3. Step 3: Cross multiply
    52,844x = 115,489 × 115,489
  4. Step 4: Simplify right side
    52,844x = 13,337,709,121
  5. Step 5: Solve for x
    x = 13,337,709,121/52,844
  6. Step 6: Final answer
    x = 252,397.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.