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Finding the Third Proportional to 117,190.50 and 162,753

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Solution

The third proportional to 117,190.50 and 162,753 is: 226,029.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,190.50 : 162,753 = 162,753 : x
  2. Step 2: Convert to fraction form
    117,190.50/162,753 = 162,753/x
  3. Step 3: Cross multiply
    117,190.50x = 162,753 × 162,753
  4. Step 4: Simplify right side
    117,190.50x = 26,488,539,009
  5. Step 5: Solve for x
    x = 26,488,539,009/117,190.50
  6. Step 6: Final answer
    x = 226,029.75

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.