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Finding the Third Proportional to 68,343.75 and 102,697.88

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Solution

The third proportional to 68,343.75 and 102,697.88 is: 154,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,343.75 : 102,697.88 = 102,697.88 : x
  2. Step 2: Convert to fraction form
    68,343.75/102,697.88 = 102,697.88/x
  3. Step 3: Cross multiply
    68,343.75x = 102,697.88 × 102,697.88
  4. Step 4: Simplify right side
    68,343.75x = 10,546,853,529.52
  5. Step 5: Solve for x
    x = 10,546,853,529.52/68,343.75
  6. Step 6: Final answer
    x = 154,320.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.