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Finding the Third Proportional to 70,659 and 150,997.50

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Solution

The third proportional to 70,659 and 150,997.50 is: 322,679.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,659 : 150,997.50 = 150,997.50 : x
  2. Step 2: Convert to fraction form
    70,659/150,997.50 = 150,997.50/x
  3. Step 3: Cross multiply
    70,659x = 150,997.50 × 150,997.50
  4. Step 4: Simplify right side
    70,659x = 22,800,245,006.25
  5. Step 5: Solve for x
    x = 22,800,245,006.25/70,659
  6. Step 6: Final answer
    x = 322,679.98

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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.