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Finding the Third Proportional to 75,859.50 and 156,619.50

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Solution

The third proportional to 75,859.50 and 156,619.50 is: 323,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,859.50 : 156,619.50 = 156,619.50 : x
  2. Step 2: Convert to fraction form
    75,859.50/156,619.50 = 156,619.50/x
  3. Step 3: Cross multiply
    75,859.50x = 156,619.50 × 156,619.50
  4. Step 4: Simplify right side
    75,859.50x = 24,529,667,780.25
  5. Step 5: Solve for x
    x = 24,529,667,780.25/75,859.50
  6. Step 6: Final answer
    x = 323,356.57

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.