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Finding the Third Proportional to 52,118.25 and 101,644.50

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Solution

The third proportional to 52,118.25 and 101,644.50 is: 198,233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,118.25 : 101,644.50 = 101,644.50 : x
  2. Step 2: Convert to fraction form
    52,118.25/101,644.50 = 101,644.50/x
  3. Step 3: Cross multiply
    52,118.25x = 101,644.50 × 101,644.50
  4. Step 4: Simplify right side
    52,118.25x = 10,331,604,380.25
  5. Step 5: Solve for x
    x = 10,331,604,380.25/52,118.25
  6. Step 6: Final answer
    x = 198,233.91

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.