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Finding the Third Proportional to 72,110.25 and 156,659.06

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Solution

The third proportional to 72,110.25 and 156,659.06 is: 340,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,110.25 : 156,659.06 = 156,659.06 : x
  2. Step 2: Convert to fraction form
    72,110.25/156,659.06 = 156,659.06/x
  3. Step 3: Cross multiply
    72,110.25x = 156,659.06 × 156,659.06
  4. Step 4: Simplify right side
    72,110.25x = 24,542,061,863.38
  5. Step 5: Solve for x
    x = 24,542,061,863.38/72,110.25
  6. Step 6: Final answer
    x = 340,340.82

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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.