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Finding the Third Proportional to 72,112.50 and 156,393

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Solution

The third proportional to 72,112.50 and 156,393 is: 339,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,112.50 : 156,393 = 156,393 : x
  2. Step 2: Convert to fraction form
    72,112.50/156,393 = 156,393/x
  3. Step 3: Cross multiply
    72,112.50x = 156,393 × 156,393
  4. Step 4: Simplify right side
    72,112.50x = 24,458,770,449
  5. Step 5: Solve for x
    x = 24,458,770,449/72,112.50
  6. Step 6: Final answer
    x = 339,175.18

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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.