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Finding the Third Proportional to 52,220.25 and 107,205.75

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Solution

The third proportional to 52,220.25 and 107,205.75 is: 220,088.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,220.25 : 107,205.75 = 107,205.75 : x
  2. Step 2: Convert to fraction form
    52,220.25/107,205.75 = 107,205.75/x
  3. Step 3: Cross multiply
    52,220.25x = 107,205.75 × 107,205.75
  4. Step 4: Simplify right side
    52,220.25x = 11,493,072,833.06
  5. Step 5: Solve for x
    x = 11,493,072,833.06/52,220.25
  6. Step 6: Final answer
    x = 220,088.43

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.