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Finding the Third Proportional to 75,508 and 167,108

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Solution

The third proportional to 75,508 and 167,108 is: 369,829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,508 : 167,108 = 167,108 : x
  2. Step 2: Convert to fraction form
    75,508/167,108 = 167,108/x
  3. Step 3: Cross multiply
    75,508x = 167,108 × 167,108
  4. Step 4: Simplify right side
    75,508x = 27,925,083,664
  5. Step 5: Solve for x
    x = 27,925,083,664/75,508
  6. Step 6: Final answer
    x = 369,829.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.