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Finding the Third Proportional to 66,028.50 and 115,245

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Solution

The third proportional to 66,028.50 and 115,245 is: 201,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,028.50 : 115,245 = 115,245 : x
  2. Step 2: Convert to fraction form
    66,028.50/115,245 = 115,245/x
  3. Step 3: Cross multiply
    66,028.50x = 115,245 × 115,245
  4. Step 4: Simplify right side
    66,028.50x = 13,281,410,025
  5. Step 5: Solve for x
    x = 13,281,410,025/66,028.50
  6. Step 6: Final answer
    x = 201,146.63

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.