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Finding the Third Proportional to 103,412 and 165,917

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Solution

The third proportional to 103,412 and 165,917 is: 266,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,412 : 165,917 = 165,917 : x
  2. Step 2: Convert to fraction form
    103,412/165,917 = 165,917/x
  3. Step 3: Cross multiply
    103,412x = 165,917 × 165,917
  4. Step 4: Simplify right side
    103,412x = 27,528,450,889
  5. Step 5: Solve for x
    x = 27,528,450,889/103,412
  6. Step 6: Final answer
    x = 266,201.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.