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Finding the Third Proportional to 74,109 and 162,273

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Solution

The third proportional to 74,109 and 162,273 is: 355,321.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,109 : 162,273 = 162,273 : x
  2. Step 2: Convert to fraction form
    74,109/162,273 = 162,273/x
  3. Step 3: Cross multiply
    74,109x = 162,273 × 162,273
  4. Step 4: Simplify right side
    74,109x = 26,332,526,529
  5. Step 5: Solve for x
    x = 26,332,526,529/74,109
  6. Step 6: Final answer
    x = 355,321.57

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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.