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Finding the Third Proportional to 106,991 and 165,575

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Solution

The third proportional to 106,991 and 165,575 is: 256,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,991 : 165,575 = 165,575 : x
  2. Step 2: Convert to fraction form
    106,991/165,575 = 165,575/x
  3. Step 3: Cross multiply
    106,991x = 165,575 × 165,575
  4. Step 4: Simplify right side
    106,991x = 27,415,080,625
  5. Step 5: Solve for x
    x = 27,415,080,625/106,991
  6. Step 6: Final answer
    x = 256,237.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.