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Finding the Third Proportional to 119,120 and 252,064

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Solution

The third proportional to 119,120 and 252,064 is: 533,380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,120 : 252,064 = 252,064 : x
  2. Step 2: Convert to fraction form
    119,120/252,064 = 252,064/x
  3. Step 3: Cross multiply
    119,120x = 252,064 × 252,064
  4. Step 4: Simplify right side
    119,120x = 63,536,260,096
  5. Step 5: Solve for x
    x = 63,536,260,096/119,120
  6. Step 6: Final answer
    x = 533,380.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.