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Finding the Third Proportional to 36,922.50 and 81,225.75

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Solution

The third proportional to 36,922.50 and 81,225.75 is: 178,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,922.50 : 81,225.75 = 81,225.75 : x
  2. Step 2: Convert to fraction form
    36,922.50/81,225.75 = 81,225.75/x
  3. Step 3: Cross multiply
    36,922.50x = 81,225.75 × 81,225.75
  4. Step 4: Simplify right side
    36,922.50x = 6,597,622,463.06
  5. Step 5: Solve for x
    x = 6,597,622,463.06/36,922.50
  6. Step 6: Final answer
    x = 178,688.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.