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Finding the Third Proportional to 114,162 and 179,080.50

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Solution

The third proportional to 114,162 and 179,080.50 is: 280,915.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,162 : 179,080.50 = 179,080.50 : x
  2. Step 2: Convert to fraction form
    114,162/179,080.50 = 179,080.50/x
  3. Step 3: Cross multiply
    114,162x = 179,080.50 × 179,080.50
  4. Step 4: Simplify right side
    114,162x = 32,069,825,480.25
  5. Step 5: Solve for x
    x = 32,069,825,480.25/114,162
  6. Step 6: Final answer
    x = 280,915.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.