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Finding the Third Proportional to 105,874 and 164,114

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Solution

The third proportional to 105,874 and 164,114 is: 254,391.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,874 : 164,114 = 164,114 : x
  2. Step 2: Convert to fraction form
    105,874/164,114 = 164,114/x
  3. Step 3: Cross multiply
    105,874x = 164,114 × 164,114
  4. Step 4: Simplify right side
    105,874x = 26,933,404,996
  5. Step 5: Solve for x
    x = 26,933,404,996/105,874
  6. Step 6: Final answer
    x = 254,391.12

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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.