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Finding the Third Proportional to 72,245.25 and 157,005

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Solution

The third proportional to 72,245.25 and 157,005 is: 341,206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,245.25 : 157,005 = 157,005 : x
  2. Step 2: Convert to fraction form
    72,245.25/157,005 = 157,005/x
  3. Step 3: Cross multiply
    72,245.25x = 157,005 × 157,005
  4. Step 4: Simplify right side
    72,245.25x = 24,650,570,025
  5. Step 5: Solve for x
    x = 24,650,570,025/72,245.25
  6. Step 6: Final answer
    x = 341,206.79

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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.