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Finding the Third Proportional to 76,936.50 and 167,157

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Solution

The third proportional to 76,936.50 and 167,157 is: 363,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,936.50 : 167,157 = 167,157 : x
  2. Step 2: Convert to fraction form
    76,936.50/167,157 = 167,157/x
  3. Step 3: Cross multiply
    76,936.50x = 167,157 × 167,157
  4. Step 4: Simplify right side
    76,936.50x = 27,941,462,649
  5. Step 5: Solve for x
    x = 27,941,462,649/76,936.50
  6. Step 6: Final answer
    x = 363,175.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.