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Finding the Third Proportional to 73,102.50 and 151,949.25

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Solution

The third proportional to 73,102.50 and 151,949.25 is: 315,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,102.50 : 151,949.25 = 151,949.25 : x
  2. Step 2: Convert to fraction form
    73,102.50/151,949.25 = 151,949.25/x
  3. Step 3: Cross multiply
    73,102.50x = 151,949.25 × 151,949.25
  4. Step 4: Simplify right side
    73,102.50x = 23,088,574,575.56
  5. Step 5: Solve for x
    x = 23,088,574,575.56/73,102.50
  6. Step 6: Final answer
    x = 315,838.37

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.