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Finding the Third Proportional to 76,396.50 and 114,738.75

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Solution

The third proportional to 76,396.50 and 114,738.75 is: 172,324.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,396.50 : 114,738.75 = 114,738.75 : x
  2. Step 2: Convert to fraction form
    76,396.50/114,738.75 = 114,738.75/x
  3. Step 3: Cross multiply
    76,396.50x = 114,738.75 × 114,738.75
  4. Step 4: Simplify right side
    76,396.50x = 13,164,980,751.56
  5. Step 5: Solve for x
    x = 13,164,980,751.56/76,396.50
  6. Step 6: Final answer
    x = 172,324.40

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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.