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Finding the Third Proportional to 52,366.50 and 111,597.75

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Solution

The third proportional to 52,366.50 and 111,597.75 is: 237,824.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,366.50 : 111,597.75 = 111,597.75 : x
  2. Step 2: Convert to fraction form
    52,366.50/111,597.75 = 111,597.75/x
  3. Step 3: Cross multiply
    52,366.50x = 111,597.75 × 111,597.75
  4. Step 4: Simplify right side
    52,366.50x = 12,454,057,805.06
  5. Step 5: Solve for x
    x = 12,454,057,805.06/52,366.50
  6. Step 6: Final answer
    x = 237,824.90

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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.