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Finding the Third Proportional to 103,408 and 165,909

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Solution

The third proportional to 103,408 and 165,909 is: 266,186.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,408 : 165,909 = 165,909 : x
  2. Step 2: Convert to fraction form
    103,408/165,909 = 165,909/x
  3. Step 3: Cross multiply
    103,408x = 165,909 × 165,909
  4. Step 4: Simplify right side
    103,408x = 27,525,796,281
  5. Step 5: Solve for x
    x = 27,525,796,281/103,408
  6. Step 6: Final answer
    x = 266,186.33

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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.