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Finding the Third Proportional to 120,187 and 174,084

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Solution

The third proportional to 120,187 and 174,084 is: 252,150.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,187 : 174,084 = 174,084 : x
  2. Step 2: Convert to fraction form
    120,187/174,084 = 174,084/x
  3. Step 3: Cross multiply
    120,187x = 174,084 × 174,084
  4. Step 4: Simplify right side
    120,187x = 30,305,239,056
  5. Step 5: Solve for x
    x = 30,305,239,056/120,187
  6. Step 6: Final answer
    x = 252,150.72

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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.