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Finding the Third Proportional to 116,166 and 170,845

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Solution

The third proportional to 116,166 and 170,845 is: 251,261.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,166 : 170,845 = 170,845 : x
  2. Step 2: Convert to fraction form
    116,166/170,845 = 170,845/x
  3. Step 3: Cross multiply
    116,166x = 170,845 × 170,845
  4. Step 4: Simplify right side
    116,166x = 29,188,014,025
  5. Step 5: Solve for x
    x = 29,188,014,025/116,166
  6. Step 6: Final answer
    x = 251,261.25

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.