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Finding the Third Proportional to 103,472 and 165,322

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Solution

The third proportional to 103,472 and 165,322 is: 264,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,472 : 165,322 = 165,322 : x
  2. Step 2: Convert to fraction form
    103,472/165,322 = 165,322/x
  3. Step 3: Cross multiply
    103,472x = 165,322 × 165,322
  4. Step 4: Simplify right side
    103,472x = 27,331,363,684
  5. Step 5: Solve for x
    x = 27,331,363,684/103,472
  6. Step 6: Final answer
    x = 264,142.61

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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.