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Finding the Third Proportional to 73,898 and 162,092

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Solution

The third proportional to 73,898 and 162,092 is: 355,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,898 : 162,092 = 162,092 : x
  2. Step 2: Convert to fraction form
    73,898/162,092 = 162,092/x
  3. Step 3: Cross multiply
    73,898x = 162,092 × 162,092
  4. Step 4: Simplify right side
    73,898x = 26,273,816,464
  5. Step 5: Solve for x
    x = 26,273,816,464/73,898
  6. Step 6: Final answer
    x = 355,541.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.