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Finding the Third Proportional to 73,814.50 and 156,856.50

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Solution

The third proportional to 73,814.50 and 156,856.50 is: 333,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,814.50 : 156,856.50 = 156,856.50 : x
  2. Step 2: Convert to fraction form
    73,814.50/156,856.50 = 156,856.50/x
  3. Step 3: Cross multiply
    73,814.50x = 156,856.50 × 156,856.50
  4. Step 4: Simplify right side
    73,814.50x = 24,603,961,592.25
  5. Step 5: Solve for x
    x = 24,603,961,592.25/73,814.50
  6. Step 6: Final answer
    x = 333,321.52

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.