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Finding the Third Proportional to 51,135 and 108,832.50

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Solution

The third proportional to 51,135 and 108,832.50 is: 231,632.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,135 : 108,832.50 = 108,832.50 : x
  2. Step 2: Convert to fraction form
    51,135/108,832.50 = 108,832.50/x
  3. Step 3: Cross multiply
    51,135x = 108,832.50 × 108,832.50
  4. Step 4: Simplify right side
    51,135x = 11,844,513,056.25
  5. Step 5: Solve for x
    x = 11,844,513,056.25/51,135
  6. Step 6: Final answer
    x = 231,632.21

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.