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Finding the Third Proportional to 75,104 and 164,058

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Solution

The third proportional to 75,104 and 164,058 is: 358,370.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,104 : 164,058 = 164,058 : x
  2. Step 2: Convert to fraction form
    75,104/164,058 = 164,058/x
  3. Step 3: Cross multiply
    75,104x = 164,058 × 164,058
  4. Step 4: Simplify right side
    75,104x = 26,915,027,364
  5. Step 5: Solve for x
    x = 26,915,027,364/75,104
  6. Step 6: Final answer
    x = 358,370.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.