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Finding the Third Proportional to 116,122 and 173,732

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Solution

The third proportional to 116,122 and 173,732 is: 259,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,122 : 173,732 = 173,732 : x
  2. Step 2: Convert to fraction form
    116,122/173,732 = 173,732/x
  3. Step 3: Cross multiply
    116,122x = 173,732 × 173,732
  4. Step 4: Simplify right side
    116,122x = 30,182,807,824
  5. Step 5: Solve for x
    x = 30,182,807,824/116,122
  6. Step 6: Final answer
    x = 259,923.25

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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.