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Finding the Third Proportional to 120,166 and 173,094

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Solution

The third proportional to 120,166 and 173,094 is: 249,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,166 : 173,094 = 173,094 : x
  2. Step 2: Convert to fraction form
    120,166/173,094 = 173,094/x
  3. Step 3: Cross multiply
    120,166x = 173,094 × 173,094
  4. Step 4: Simplify right side
    120,166x = 29,961,532,836
  5. Step 5: Solve for x
    x = 29,961,532,836/120,166
  6. Step 6: Final answer
    x = 249,334.53

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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.