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Finding the Third Proportional to 76,296 and 161,168

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Solution

The third proportional to 76,296 and 161,168 is: 340,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,296 : 161,168 = 161,168 : x
  2. Step 2: Convert to fraction form
    76,296/161,168 = 161,168/x
  3. Step 3: Cross multiply
    76,296x = 161,168 × 161,168
  4. Step 4: Simplify right side
    76,296x = 25,975,124,224
  5. Step 5: Solve for x
    x = 25,975,124,224/76,296
  6. Step 6: Final answer
    x = 340,451.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.