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Finding the Third Proportional to 76,724 and 167,388

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Solution

The third proportional to 76,724 and 167,388 is: 365,188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,724 : 167,388 = 167,388 : x
  2. Step 2: Convert to fraction form
    76,724/167,388 = 167,388/x
  3. Step 3: Cross multiply
    76,724x = 167,388 × 167,388
  4. Step 4: Simplify right side
    76,724x = 28,018,742,544
  5. Step 5: Solve for x
    x = 28,018,742,544/76,724
  6. Step 6: Final answer
    x = 365,188.76

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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.