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Finding the Third Proportional to 50,870.25 and 110,215

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Solution

The third proportional to 50,870.25 and 110,215 is: 238,790.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,870.25 : 110,215 = 110,215 : x
  2. Step 2: Convert to fraction form
    50,870.25/110,215 = 110,215/x
  3. Step 3: Cross multiply
    50,870.25x = 110,215 × 110,215
  4. Step 4: Simplify right side
    50,870.25x = 12,147,346,225
  5. Step 5: Solve for x
    x = 12,147,346,225/50,870.25
  6. Step 6: Final answer
    x = 238,790.77

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.