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Finding the Third Proportional to 72,120.19 and 156,939.56

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Solution

The third proportional to 72,120.19 and 156,939.56 is: 341,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,120.19 : 156,939.56 = 156,939.56 : x
  2. Step 2: Convert to fraction form
    72,120.19/156,939.56 = 156,939.56/x
  3. Step 3: Cross multiply
    72,120.19x = 156,939.56 × 156,939.56
  4. Step 4: Simplify right side
    72,120.19x = 24,630,026,277.69
  5. Step 5: Solve for x
    x = 24,630,026,277.69/72,120.19
  6. Step 6: Final answer
    x = 341,513.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.