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Finding the Third Proportional to 117,069 and 251,892

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Solution

The third proportional to 117,069 and 251,892 is: 541,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,069 : 251,892 = 251,892 : x
  2. Step 2: Convert to fraction form
    117,069/251,892 = 251,892/x
  3. Step 3: Cross multiply
    117,069x = 251,892 × 251,892
  4. Step 4: Simplify right side
    117,069x = 63,449,579,664
  5. Step 5: Solve for x
    x = 63,449,579,664/117,069
  6. Step 6: Final answer
    x = 541,984.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.