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Finding the Third Proportional to 50,892 and 74,810

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Solution

The third proportional to 50,892 and 74,810 is: 109,968.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,892 : 74,810 = 74,810 : x
  2. Step 2: Convert to fraction form
    50,892/74,810 = 74,810/x
  3. Step 3: Cross multiply
    50,892x = 74,810 × 74,810
  4. Step 4: Simplify right side
    50,892x = 5,596,536,100
  5. Step 5: Solve for x
    x = 5,596,536,100/50,892
  6. Step 6: Final answer
    x = 109,968.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.