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Finding the Third Proportional to 52,186.50 and 69,914.25

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Solution

The third proportional to 52,186.50 and 69,914.25 is: 93,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,186.50 : 69,914.25 = 69,914.25 : x
  2. Step 2: Convert to fraction form
    52,186.50/69,914.25 = 69,914.25/x
  3. Step 3: Cross multiply
    52,186.50x = 69,914.25 × 69,914.25
  4. Step 4: Simplify right side
    52,186.50x = 4,888,002,353.06
  5. Step 5: Solve for x
    x = 4,888,002,353.06/52,186.50
  6. Step 6: Final answer
    x = 93,664.12

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.