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Finding the Third Proportional to 72,441.75 and 156,942.38

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Solution

The third proportional to 72,441.75 and 156,942.38 is: 340,009.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,441.75 : 156,942.38 = 156,942.38 : x
  2. Step 2: Convert to fraction form
    72,441.75/156,942.38 = 156,942.38/x
  3. Step 3: Cross multiply
    72,441.75x = 156,942.38 × 156,942.38
  4. Step 4: Simplify right side
    72,441.75x = 24,630,909,070.64
  5. Step 5: Solve for x
    x = 24,630,909,070.64/72,441.75
  6. Step 6: Final answer
    x = 340,009.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.