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Finding the Third Proportional to 34,305 and 73,218

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Solution

The third proportional to 34,305 and 73,218 is: 156,270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,305 : 73,218 = 73,218 : x
  2. Step 2: Convert to fraction form
    34,305/73,218 = 73,218/x
  3. Step 3: Cross multiply
    34,305x = 73,218 × 73,218
  4. Step 4: Simplify right side
    34,305x = 5,360,875,524
  5. Step 5: Solve for x
    x = 5,360,875,524/34,305
  6. Step 6: Final answer
    x = 156,270.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.