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Finding the Third Proportional to 103,668 and 165,037

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Solution

The third proportional to 103,668 and 165,037 is: 262,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,668 : 165,037 = 165,037 : x
  2. Step 2: Convert to fraction form
    103,668/165,037 = 165,037/x
  3. Step 3: Cross multiply
    103,668x = 165,037 × 165,037
  4. Step 4: Simplify right side
    103,668x = 27,237,211,369
  5. Step 5: Solve for x
    x = 27,237,211,369/103,668
  6. Step 6: Final answer
    x = 262,734.99

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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.