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Finding the Third Proportional to 65,649 and 144,420

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Solution

The third proportional to 65,649 and 144,420 is: 317,706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,649 : 144,420 = 144,420 : x
  2. Step 2: Convert to fraction form
    65,649/144,420 = 144,420/x
  3. Step 3: Cross multiply
    65,649x = 144,420 × 144,420
  4. Step 4: Simplify right side
    65,649x = 20,857,136,400
  5. Step 5: Solve for x
    x = 20,857,136,400/65,649
  6. Step 6: Final answer
    x = 317,706.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.