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Finding the Third Proportional to 85,123 and 128,869

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Solution

The third proportional to 85,123 and 128,869 is: 195,096.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,123 : 128,869 = 128,869 : x
  2. Step 2: Convert to fraction form
    85,123/128,869 = 128,869/x
  3. Step 3: Cross multiply
    85,123x = 128,869 × 128,869
  4. Step 4: Simplify right side
    85,123x = 16,607,219,161
  5. Step 5: Solve for x
    x = 16,607,219,161/85,123
  6. Step 6: Final answer
    x = 195,096.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.