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Finding the Third Proportional to 50,571 and 72,842.63

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Solution

The third proportional to 50,571 and 72,842.63 is: 104,922.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,571 : 72,842.63 = 72,842.63 : x
  2. Step 2: Convert to fraction form
    50,571/72,842.63 = 72,842.63/x
  3. Step 3: Cross multiply
    50,571x = 72,842.63 × 72,842.63
  4. Step 4: Simplify right side
    50,571x = 5,306,048,016.89
  5. Step 5: Solve for x
    x = 5,306,048,016.89/50,571
  6. Step 6: Final answer
    x = 104,922.74

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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.