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Finding the Third Proportional to 52,619 and 115,425

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Solution

The third proportional to 52,619 and 115,425 is: 253,196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,619 : 115,425 = 115,425 : x
  2. Step 2: Convert to fraction form
    52,619/115,425 = 115,425/x
  3. Step 3: Cross multiply
    52,619x = 115,425 × 115,425
  4. Step 4: Simplify right side
    52,619x = 13,322,930,625
  5. Step 5: Solve for x
    x = 13,322,930,625/52,619
  6. Step 6: Final answer
    x = 253,196.20

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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.