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Finding the Third Proportional to 103,462 and 165,304

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Solution

The third proportional to 103,462 and 165,304 is: 264,110.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,462 : 165,304 = 165,304 : x
  2. Step 2: Convert to fraction form
    103,462/165,304 = 165,304/x
  3. Step 3: Cross multiply
    103,462x = 165,304 × 165,304
  4. Step 4: Simplify right side
    103,462x = 27,325,412,416
  5. Step 5: Solve for x
    x = 27,325,412,416/103,462
  6. Step 6: Final answer
    x = 264,110.61

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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.