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Finding the Third Proportional to 106,817 and 166,058

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Solution

The third proportional to 106,817 and 166,058 is: 258,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,817 : 166,058 = 166,058 : x
  2. Step 2: Convert to fraction form
    106,817/166,058 = 166,058/x
  3. Step 3: Cross multiply
    106,817x = 166,058 × 166,058
  4. Step 4: Simplify right side
    106,817x = 27,575,259,364
  5. Step 5: Solve for x
    x = 27,575,259,364/106,817
  6. Step 6: Final answer
    x = 258,154.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.