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Finding the Third Proportional to 73,479 and 109,933

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Solution

The third proportional to 73,479 and 109,933 is: 164,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,479 : 109,933 = 109,933 : x
  2. Step 2: Convert to fraction form
    73,479/109,933 = 109,933/x
  3. Step 3: Cross multiply
    73,479x = 109,933 × 109,933
  4. Step 4: Simplify right side
    73,479x = 12,085,264,489
  5. Step 5: Solve for x
    x = 12,085,264,489/73,479
  6. Step 6: Final answer
    x = 164,472.36

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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.