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Finding the Third Proportional to 120,906 and 173,145

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Solution

The third proportional to 120,906 and 173,145 is: 247,954.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,906 : 173,145 = 173,145 : x
  2. Step 2: Convert to fraction form
    120,906/173,145 = 173,145/x
  3. Step 3: Cross multiply
    120,906x = 173,145 × 173,145
  4. Step 4: Simplify right side
    120,906x = 29,979,191,025
  5. Step 5: Solve for x
    x = 29,979,191,025/120,906
  6. Step 6: Final answer
    x = 247,954.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.