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Finding the Third Proportional to 103,658 and 165,021

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Solution

The third proportional to 103,658 and 165,021 is: 262,709.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,658 : 165,021 = 165,021 : x
  2. Step 2: Convert to fraction form
    103,658/165,021 = 165,021/x
  3. Step 3: Cross multiply
    103,658x = 165,021 × 165,021
  4. Step 4: Simplify right side
    103,658x = 27,231,930,441
  5. Step 5: Solve for x
    x = 27,231,930,441/103,658
  6. Step 6: Final answer
    x = 262,709.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.