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Finding the Third Proportional to 117,065.25 and 179,982

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Solution

The third proportional to 117,065.25 and 179,982 is: 276,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,065.25 : 179,982 = 179,982 : x
  2. Step 2: Convert to fraction form
    117,065.25/179,982 = 179,982/x
  3. Step 3: Cross multiply
    117,065.25x = 179,982 × 179,982
  4. Step 4: Simplify right side
    117,065.25x = 32,393,520,324
  5. Step 5: Solve for x
    x = 32,393,520,324/117,065.25
  6. Step 6: Final answer
    x = 276,713.37

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.