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Finding the Third Proportional to 103,460 and 165,302

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Solution

The third proportional to 103,460 and 165,302 is: 264,109.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,460 : 165,302 = 165,302 : x
  2. Step 2: Convert to fraction form
    103,460/165,302 = 165,302/x
  3. Step 3: Cross multiply
    103,460x = 165,302 × 165,302
  4. Step 4: Simplify right side
    103,460x = 27,324,751,204
  5. Step 5: Solve for x
    x = 27,324,751,204/103,460
  6. Step 6: Final answer
    x = 264,109.33

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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.