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Finding the Third Proportional to 76,099.50 and 162,759.38

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Solution

The third proportional to 76,099.50 and 162,759.38 is: 348,104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,099.50 : 162,759.38 = 162,759.38 : x
  2. Step 2: Convert to fraction form
    76,099.50/162,759.38 = 162,759.38/x
  3. Step 3: Cross multiply
    76,099.50x = 162,759.38 × 162,759.38
  4. Step 4: Simplify right side
    76,099.50x = 26,490,614,150.39
  5. Step 5: Solve for x
    x = 26,490,614,150.39/76,099.50
  6. Step 6: Final answer
    x = 348,104.97

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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.