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Finding the Third Proportional to 91,917 and 126,575

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Solution

The third proportional to 91,917 and 126,575 is: 174,301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,917 : 126,575 = 126,575 : x
  2. Step 2: Convert to fraction form
    91,917/126,575 = 126,575/x
  3. Step 3: Cross multiply
    91,917x = 126,575 × 126,575
  4. Step 4: Simplify right side
    91,917x = 16,021,230,625
  5. Step 5: Solve for x
    x = 16,021,230,625/91,917
  6. Step 6: Final answer
    x = 174,301.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.