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Finding the Third Proportional to 52,824 and 115,125

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Solution

The third proportional to 52,824 and 115,125 is: 250,904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,824 : 115,125 = 115,125 : x
  2. Step 2: Convert to fraction form
    52,824/115,125 = 115,125/x
  3. Step 3: Cross multiply
    52,824x = 115,125 × 115,125
  4. Step 4: Simplify right side
    52,824x = 13,253,765,625
  5. Step 5: Solve for x
    x = 13,253,765,625/52,824
  6. Step 6: Final answer
    x = 250,904.24

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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.