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Finding the Third Proportional to 68,951.25 and 102,135.94

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Solution

The third proportional to 68,951.25 and 102,135.94 is: 151,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,951.25 : 102,135.94 = 102,135.94 : x
  2. Step 2: Convert to fraction form
    68,951.25/102,135.94 = 102,135.94/x
  3. Step 3: Cross multiply
    68,951.25x = 102,135.94 × 102,135.94
  4. Step 4: Simplify right side
    68,951.25x = 10,431,749,729.00
  5. Step 5: Solve for x
    x = 10,431,749,729.00/68,951.25
  6. Step 6: Final answer
    x = 151,291.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.