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Finding the Third Proportional to 68,914.50 and 100,635

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Solution

The third proportional to 68,914.50 and 100,635 is: 146,956.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,914.50 : 100,635 = 100,635 : x
  2. Step 2: Convert to fraction form
    68,914.50/100,635 = 100,635/x
  3. Step 3: Cross multiply
    68,914.50x = 100,635 × 100,635
  4. Step 4: Simplify right side
    68,914.50x = 10,127,403,225
  5. Step 5: Solve for x
    x = 10,127,403,225/68,914.50
  6. Step 6: Final answer
    x = 146,956.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.