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Finding the Third Proportional to 85,916 and 129,819

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Solution

The third proportional to 85,916 and 129,819 is: 196,156.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,916 : 129,819 = 129,819 : x
  2. Step 2: Convert to fraction form
    85,916/129,819 = 129,819/x
  3. Step 3: Cross multiply
    85,916x = 129,819 × 129,819
  4. Step 4: Simplify right side
    85,916x = 16,852,972,761
  5. Step 5: Solve for x
    x = 16,852,972,761/85,916
  6. Step 6: Final answer
    x = 196,156.39

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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.