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Finding the Third Proportional to 72,961 and 104,833.50

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Solution

The third proportional to 72,961 and 104,833.50 is: 150,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,961 : 104,833.50 = 104,833.50 : x
  2. Step 2: Convert to fraction form
    72,961/104,833.50 = 104,833.50/x
  3. Step 3: Cross multiply
    72,961x = 104,833.50 × 104,833.50
  4. Step 4: Simplify right side
    72,961x = 10,990,062,722.25
  5. Step 5: Solve for x
    x = 10,990,062,722.25/72,961
  6. Step 6: Final answer
    x = 150,629.28

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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.