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Finding the Third Proportional to 76,724 and 167,396

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Solution

The third proportional to 76,724 and 167,396 is: 365,223.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,724 : 167,396 = 167,396 : x
  2. Step 2: Convert to fraction form
    76,724/167,396 = 167,396/x
  3. Step 3: Cross multiply
    76,724x = 167,396 × 167,396
  4. Step 4: Simplify right side
    76,724x = 28,021,420,816
  5. Step 5: Solve for x
    x = 28,021,420,816/76,724
  6. Step 6: Final answer
    x = 365,223.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.