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Finding the Third Proportional to 73,632.38 and 158,847.75

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Solution

The third proportional to 73,632.38 and 158,847.75 is: 342,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,632.38 : 158,847.75 = 158,847.75 : x
  2. Step 2: Convert to fraction form
    73,632.38/158,847.75 = 158,847.75/x
  3. Step 3: Cross multiply
    73,632.38x = 158,847.75 × 158,847.75
  4. Step 4: Simplify right side
    73,632.38x = 25,232,607,680.06
  5. Step 5: Solve for x
    x = 25,232,607,680.06/73,632.38
  6. Step 6: Final answer
    x = 342,683.60

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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.