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Finding the Third Proportional to 61,768 and 92,375

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Solution

The third proportional to 61,768 and 92,375 is: 138,148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,768 : 92,375 = 92,375 : x
  2. Step 2: Convert to fraction form
    61,768/92,375 = 92,375/x
  3. Step 3: Cross multiply
    61,768x = 92,375 × 92,375
  4. Step 4: Simplify right side
    61,768x = 8,533,140,625
  5. Step 5: Solve for x
    x = 8,533,140,625/61,768
  6. Step 6: Final answer
    x = 138,148.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.