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Finding the Third Proportional to 72,180 and 103,973

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Solution

The third proportional to 72,180 and 103,973 is: 149,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,180 : 103,973 = 103,973 : x
  2. Step 2: Convert to fraction form
    72,180/103,973 = 103,973/x
  3. Step 3: Cross multiply
    72,180x = 103,973 × 103,973
  4. Step 4: Simplify right side
    72,180x = 10,810,384,729
  5. Step 5: Solve for x
    x = 10,810,384,729/72,180
  6. Step 6: Final answer
    x = 149,769.81

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.