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Finding the Third Proportional to 72,606 and 110,003

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Solution

The third proportional to 72,606 and 110,003 is: 166,661.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,606 : 110,003 = 110,003 : x
  2. Step 2: Convert to fraction form
    72,606/110,003 = 110,003/x
  3. Step 3: Cross multiply
    72,606x = 110,003 × 110,003
  4. Step 4: Simplify right side
    72,606x = 12,100,660,009
  5. Step 5: Solve for x
    x = 12,100,660,009/72,606
  6. Step 6: Final answer
    x = 166,661.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.