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Finding the Third Proportional to 75,804 and 165,058

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Solution

The third proportional to 75,804 and 165,058 is: 359,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,804 : 165,058 = 165,058 : x
  2. Step 2: Convert to fraction form
    75,804/165,058 = 165,058/x
  3. Step 3: Cross multiply
    75,804x = 165,058 × 165,058
  4. Step 4: Simplify right side
    75,804x = 27,244,143,364
  5. Step 5: Solve for x
    x = 27,244,143,364/75,804
  6. Step 6: Final answer
    x = 359,402.45

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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.