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Finding the Third Proportional to 129,632 and 165,648

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Solution

The third proportional to 129,632 and 165,648 is: 211,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,632 : 165,648 = 165,648 : x
  2. Step 2: Convert to fraction form
    129,632/165,648 = 165,648/x
  3. Step 3: Cross multiply
    129,632x = 165,648 × 165,648
  4. Step 4: Simplify right side
    129,632x = 27,439,259,904
  5. Step 5: Solve for x
    x = 27,439,259,904/129,632
  6. Step 6: Final answer
    x = 211,670.42

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.