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Finding the Third Proportional to 73,580.25 and 158,817.75

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Solution

The third proportional to 73,580.25 and 158,817.75 is: 342,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,580.25 : 158,817.75 = 158,817.75 : x
  2. Step 2: Convert to fraction form
    73,580.25/158,817.75 = 158,817.75/x
  3. Step 3: Cross multiply
    73,580.25x = 158,817.75 × 158,817.75
  4. Step 4: Simplify right side
    73,580.25x = 25,223,077,715.06
  5. Step 5: Solve for x
    x = 25,223,077,715.06/73,580.25
  6. Step 6: Final answer
    x = 342,796.85

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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.