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Finding the Third Proportional to 50,490 and 109,845

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Solution

The third proportional to 50,490 and 109,845 is: 238,976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,490 : 109,845 = 109,845 : x
  2. Step 2: Convert to fraction form
    50,490/109,845 = 109,845/x
  3. Step 3: Cross multiply
    50,490x = 109,845 × 109,845
  4. Step 4: Simplify right side
    50,490x = 12,065,924,025
  5. Step 5: Solve for x
    x = 12,065,924,025/50,490
  6. Step 6: Final answer
    x = 238,976.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.