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Finding the Third Proportional to 72,570 and 109,950

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Solution

The third proportional to 72,570 and 109,950 is: 166,584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,570 : 109,950 = 109,950 : x
  2. Step 2: Convert to fraction form
    72,570/109,950 = 109,950/x
  3. Step 3: Cross multiply
    72,570x = 109,950 × 109,950
  4. Step 4: Simplify right side
    72,570x = 12,089,002,500
  5. Step 5: Solve for x
    x = 12,089,002,500/72,570
  6. Step 6: Final answer
    x = 166,584.02

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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.