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Finding the Third Proportional to 50,892 and 109,320

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Solution

The third proportional to 50,892 and 109,320 is: 234,827.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,892 : 109,320 = 109,320 : x
  2. Step 2: Convert to fraction form
    50,892/109,320 = 109,320/x
  3. Step 3: Cross multiply
    50,892x = 109,320 × 109,320
  4. Step 4: Simplify right side
    50,892x = 11,950,862,400
  5. Step 5: Solve for x
    x = 11,950,862,400/50,892
  6. Step 6: Final answer
    x = 234,827.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.