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Finding the Third Proportional to 57,723 and 90,229.50

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Solution

The third proportional to 57,723 and 90,229.50 is: 141,041.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,723 : 90,229.50 = 90,229.50 : x
  2. Step 2: Convert to fraction form
    57,723/90,229.50 = 90,229.50/x
  3. Step 3: Cross multiply
    57,723x = 90,229.50 × 90,229.50
  4. Step 4: Simplify right side
    57,723x = 8,141,362,670.25
  5. Step 5: Solve for x
    x = 8,141,362,670.25/57,723
  6. Step 6: Final answer
    x = 141,041.92

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.