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Finding the Third Proportional to 120,208 and 174,114

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Solution

The third proportional to 120,208 and 174,114 is: 252,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,208 : 174,114 = 174,114 : x
  2. Step 2: Convert to fraction form
    120,208/174,114 = 174,114/x
  3. Step 3: Cross multiply
    120,208x = 174,114 × 174,114
  4. Step 4: Simplify right side
    120,208x = 30,315,684,996
  5. Step 5: Solve for x
    x = 30,315,684,996/120,208
  6. Step 6: Final answer
    x = 252,193.57

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.