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Finding the Third Proportional to 77,105 and 112,375

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Solution

The third proportional to 77,105 and 112,375 is: 163,778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,105 : 112,375 = 112,375 : x
  2. Step 2: Convert to fraction form
    77,105/112,375 = 112,375/x
  3. Step 3: Cross multiply
    77,105x = 112,375 × 112,375
  4. Step 4: Simplify right side
    77,105x = 12,628,140,625
  5. Step 5: Solve for x
    x = 12,628,140,625/77,105
  6. Step 6: Final answer
    x = 163,778.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.