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Finding the Third Proportional to 66,538 and 88,575

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Solution

The third proportional to 66,538 and 88,575 is: 117,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,538 : 88,575 = 88,575 : x
  2. Step 2: Convert to fraction form
    66,538/88,575 = 88,575/x
  3. Step 3: Cross multiply
    66,538x = 88,575 × 88,575
  4. Step 4: Simplify right side
    66,538x = 7,845,530,625
  5. Step 5: Solve for x
    x = 7,845,530,625/66,538
  6. Step 6: Final answer
    x = 117,910.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.