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Finding the Third Proportional to 50,510 and 111,046

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Solution

The third proportional to 50,510 and 111,046 is: 244,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,510 : 111,046 = 111,046 : x
  2. Step 2: Convert to fraction form
    50,510/111,046 = 111,046/x
  3. Step 3: Cross multiply
    50,510x = 111,046 × 111,046
  4. Step 4: Simplify right side
    50,510x = 12,331,214,116
  5. Step 5: Solve for x
    x = 12,331,214,116/50,510
  6. Step 6: Final answer
    x = 244,134.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.