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Finding the Third Proportional to 73,825.50 and 158,106.75

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Solution

The third proportional to 73,825.50 and 158,106.75 is: 338,605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,825.50 : 158,106.75 = 158,106.75 : x
  2. Step 2: Convert to fraction form
    73,825.50/158,106.75 = 158,106.75/x
  3. Step 3: Cross multiply
    73,825.50x = 158,106.75 × 158,106.75
  4. Step 4: Simplify right side
    73,825.50x = 24,997,744,395.56
  5. Step 5: Solve for x
    x = 24,997,744,395.56/73,825.50
  6. Step 6: Final answer
    x = 338,605.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.