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Finding the Third Proportional to 50,733 and 72,111

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Solution

The third proportional to 50,733 and 72,111 is: 102,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,733 : 72,111 = 72,111 : x
  2. Step 2: Convert to fraction form
    50,733/72,111 = 72,111/x
  3. Step 3: Cross multiply
    50,733x = 72,111 × 72,111
  4. Step 4: Simplify right side
    50,733x = 5,199,996,321
  5. Step 5: Solve for x
    x = 5,199,996,321/50,733
  6. Step 6: Final answer
    x = 102,497.32

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.