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Finding the Third Proportional to 167,427 and 183,951

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Solution

The third proportional to 167,427 and 183,951 is: 202,105.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,427 : 183,951 = 183,951 : x
  2. Step 2: Convert to fraction form
    167,427/183,951 = 183,951/x
  3. Step 3: Cross multiply
    167,427x = 183,951 × 183,951
  4. Step 4: Simplify right side
    167,427x = 33,837,970,401
  5. Step 5: Solve for x
    x = 33,837,970,401/167,427
  6. Step 6: Final answer
    x = 202,105.82

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.