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Finding the Third Proportional to 103,466 and 165,310

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Solution

The third proportional to 103,466 and 165,310 is: 264,119.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,466 : 165,310 = 165,310 : x
  2. Step 2: Convert to fraction form
    103,466/165,310 = 165,310/x
  3. Step 3: Cross multiply
    103,466x = 165,310 × 165,310
  4. Step 4: Simplify right side
    103,466x = 27,327,396,100
  5. Step 5: Solve for x
    x = 27,327,396,100/103,466
  6. Step 6: Final answer
    x = 264,119.58

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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.