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Finding the Third Proportional to 52,822 and 115,121

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Solution

The third proportional to 52,822 and 115,121 is: 250,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,822 : 115,121 = 115,121 : x
  2. Step 2: Convert to fraction form
    52,822/115,121 = 115,121/x
  3. Step 3: Cross multiply
    52,822x = 115,121 × 115,121
  4. Step 4: Simplify right side
    52,822x = 13,252,844,641
  5. Step 5: Solve for x
    x = 13,252,844,641/52,822
  6. Step 6: Final answer
    x = 250,896.31

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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.