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Finding the Third Proportional to 50,320 and 105,536

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Solution

The third proportional to 50,320 and 105,536 is: 221,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,320 : 105,536 = 105,536 : x
  2. Step 2: Convert to fraction form
    50,320/105,536 = 105,536/x
  3. Step 3: Cross multiply
    50,320x = 105,536 × 105,536
  4. Step 4: Simplify right side
    50,320x = 11,137,847,296
  5. Step 5: Solve for x
    x = 11,137,847,296/50,320
  6. Step 6: Final answer
    x = 221,340.37

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.