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Finding the Third Proportional to 120,227 and 173,176

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Solution

The third proportional to 120,227 and 173,176 is: 249,444.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,227 : 173,176 = 173,176 : x
  2. Step 2: Convert to fraction form
    120,227/173,176 = 173,176/x
  3. Step 3: Cross multiply
    120,227x = 173,176 × 173,176
  4. Step 4: Simplify right side
    120,227x = 29,989,926,976
  5. Step 5: Solve for x
    x = 29,989,926,976/120,227
  6. Step 6: Final answer
    x = 249,444.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.