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Finding the Third Proportional to 50,152 and 110,192

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Solution

The third proportional to 50,152 and 110,192 is: 242,109.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,152 : 110,192 = 110,192 : x
  2. Step 2: Convert to fraction form
    50,152/110,192 = 110,192/x
  3. Step 3: Cross multiply
    50,152x = 110,192 × 110,192
  4. Step 4: Simplify right side
    50,152x = 12,142,276,864
  5. Step 5: Solve for x
    x = 12,142,276,864/50,152
  6. Step 6: Final answer
    x = 242,109.52

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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.