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Finding the Third Proportional to 75,192.56 and 167,196.94

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Solution

The third proportional to 75,192.56 and 167,196.94 is: 371,776.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,192.56 : 167,196.94 = 167,196.94 : x
  2. Step 2: Convert to fraction form
    75,192.56/167,196.94 = 167,196.94/x
  3. Step 3: Cross multiply
    75,192.56x = 167,196.94 × 167,196.94
  4. Step 4: Simplify right side
    75,192.56x = 27,954,815,909.38
  5. Step 5: Solve for x
    x = 27,954,815,909.38/75,192.56
  6. Step 6: Final answer
    x = 371,776.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.