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Finding the Third Proportional to 103,458 and 165,299

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Solution

The third proportional to 103,458 and 165,299 is: 264,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,458 : 165,299 = 165,299 : x
  2. Step 2: Convert to fraction form
    103,458/165,299 = 165,299/x
  3. Step 3: Cross multiply
    103,458x = 165,299 × 165,299
  4. Step 4: Simplify right side
    103,458x = 27,323,759,401
  5. Step 5: Solve for x
    x = 27,323,759,401/103,458
  6. Step 6: Final answer
    x = 264,104.85

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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.