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Finding the Third Proportional to 73,176.75 and 149,539.50

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Solution

The third proportional to 73,176.75 and 149,539.50 is: 305,589.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,176.75 : 149,539.50 = 149,539.50 : x
  2. Step 2: Convert to fraction form
    73,176.75/149,539.50 = 149,539.50/x
  3. Step 3: Cross multiply
    73,176.75x = 149,539.50 × 149,539.50
  4. Step 4: Simplify right side
    73,176.75x = 22,362,062,060.25
  5. Step 5: Solve for x
    x = 22,362,062,060.25/73,176.75
  6. Step 6: Final answer
    x = 305,589.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.