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Finding the Third Proportional to 108,914 and 166,575

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Solution

The third proportional to 108,914 and 166,575 is: 254,762.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,914 : 166,575 = 166,575 : x
  2. Step 2: Convert to fraction form
    108,914/166,575 = 166,575/x
  3. Step 3: Cross multiply
    108,914x = 166,575 × 166,575
  4. Step 4: Simplify right side
    108,914x = 27,747,230,625
  5. Step 5: Solve for x
    x = 27,747,230,625/108,914
  6. Step 6: Final answer
    x = 254,762.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.