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Finding the Third Proportional to 134,107.50 and 289,993.75

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Solution

The third proportional to 134,107.50 and 289,993.75 is: 627,081.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,107.50 : 289,993.75 = 289,993.75 : x
  2. Step 2: Convert to fraction form
    134,107.50/289,993.75 = 289,993.75/x
  3. Step 3: Cross multiply
    134,107.50x = 289,993.75 × 289,993.75
  4. Step 4: Simplify right side
    134,107.50x = 84,096,375,039.06
  5. Step 5: Solve for x
    x = 84,096,375,039.06/134,107.50
  6. Step 6: Final answer
    x = 627,081.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.