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Finding the Third Proportional to 77,642 and 165,452

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Solution

The third proportional to 77,642 and 165,452 is: 352,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,642 : 165,452 = 165,452 : x
  2. Step 2: Convert to fraction form
    77,642/165,452 = 165,452/x
  3. Step 3: Cross multiply
    77,642x = 165,452 × 165,452
  4. Step 4: Simplify right side
    77,642x = 27,374,364,304
  5. Step 5: Solve for x
    x = 27,374,364,304/77,642
  6. Step 6: Final answer
    x = 352,571.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.