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Finding the Third Proportional to 115,992 and 253,125

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Solution

The third proportional to 115,992 and 253,125 is: 552,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,992 : 253,125 = 253,125 : x
  2. Step 2: Convert to fraction form
    115,992/253,125 = 253,125/x
  3. Step 3: Cross multiply
    115,992x = 253,125 × 253,125
  4. Step 4: Simplify right side
    115,992x = 64,072,265,625
  5. Step 5: Solve for x
    x = 64,072,265,625/115,992
  6. Step 6: Final answer
    x = 552,385.21

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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.