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Finding the Third Proportional to 50,892 and 72,237

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Solution

The third proportional to 50,892 and 72,237 is: 102,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,892 : 72,237 = 72,237 : x
  2. Step 2: Convert to fraction form
    50,892/72,237 = 72,237/x
  3. Step 3: Cross multiply
    50,892x = 72,237 × 72,237
  4. Step 4: Simplify right side
    50,892x = 5,218,184,169
  5. Step 5: Solve for x
    x = 5,218,184,169/50,892
  6. Step 6: Final answer
    x = 102,534.47

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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.