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Finding the Third Proportional to 115,912 and 253,966

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Solution

The third proportional to 115,912 and 253,966 is: 556,445.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,912 : 253,966 = 253,966 : x
  2. Step 2: Convert to fraction form
    115,912/253,966 = 253,966/x
  3. Step 3: Cross multiply
    115,912x = 253,966 × 253,966
  4. Step 4: Simplify right side
    115,912x = 64,498,729,156
  5. Step 5: Solve for x
    x = 64,498,729,156/115,912
  6. Step 6: Final answer
    x = 556,445.66

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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.