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Finding the Third Proportional to 72,702 and 158,905.50

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Solution

The third proportional to 72,702 and 158,905.50 is: 347,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,702 : 158,905.50 = 158,905.50 : x
  2. Step 2: Convert to fraction form
    72,702/158,905.50 = 158,905.50/x
  3. Step 3: Cross multiply
    72,702x = 158,905.50 × 158,905.50
  4. Step 4: Simplify right side
    72,702x = 25,250,957,930.25
  5. Step 5: Solve for x
    x = 25,250,957,930.25/72,702
  6. Step 6: Final answer
    x = 347,321.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.