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Finding the Third Proportional to 72,274.50 and 111,229.88

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Solution

The third proportional to 72,274.50 and 111,229.88 is: 171,181.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,274.50 : 111,229.88 = 111,229.88 : x
  2. Step 2: Convert to fraction form
    72,274.50/111,229.88 = 111,229.88/x
  3. Step 3: Cross multiply
    72,274.50x = 111,229.88 × 111,229.88
  4. Step 4: Simplify right side
    72,274.50x = 12,372,085,092.52
  5. Step 5: Solve for x
    x = 12,372,085,092.52/72,274.50
  6. Step 6: Final answer
    x = 171,181.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.