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Finding the Third Proportional to 51,612 and 109,426.50

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Solution

The third proportional to 51,612 and 109,426.50 is: 232,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,612 : 109,426.50 = 109,426.50 : x
  2. Step 2: Convert to fraction form
    51,612/109,426.50 = 109,426.50/x
  3. Step 3: Cross multiply
    51,612x = 109,426.50 × 109,426.50
  4. Step 4: Simplify right side
    51,612x = 11,974,158,902.25
  5. Step 5: Solve for x
    x = 11,974,158,902.25/51,612
  6. Step 6: Final answer
    x = 232,003.39

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.