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Finding the Third Proportional to 103,695 and 165,389

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Solution

The third proportional to 103,695 and 165,389 is: 263,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,695 : 165,389 = 165,389 : x
  2. Step 2: Convert to fraction form
    103,695/165,389 = 165,389/x
  3. Step 3: Cross multiply
    103,695x = 165,389 × 165,389
  4. Step 4: Simplify right side
    103,695x = 27,353,521,321
  5. Step 5: Solve for x
    x = 27,353,521,321/103,695
  6. Step 6: Final answer
    x = 263,788.24

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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.