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Finding the Third Proportional to 73,305 and 109,917

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Solution

The third proportional to 73,305 and 109,917 is: 164,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,305 : 109,917 = 109,917 : x
  2. Step 2: Convert to fraction form
    73,305/109,917 = 109,917/x
  3. Step 3: Cross multiply
    73,305x = 109,917 × 109,917
  4. Step 4: Simplify right side
    73,305x = 12,081,746,889
  5. Step 5: Solve for x
    x = 12,081,746,889/73,305
  6. Step 6: Final answer
    x = 164,814.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.