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Finding the Third Proportional to 120,114.14 and 255,047.48

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Solution

The third proportional to 120,114.14 and 255,047.48 is: 541,561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,114.14 : 255,047.48 = 255,047.48 : x
  2. Step 2: Convert to fraction form
    120,114.14/255,047.48 = 255,047.48/x
  3. Step 3: Cross multiply
    120,114.14x = 255,047.48 × 255,047.48
  4. Step 4: Simplify right side
    120,114.14x = 65,049,219,286.02
  5. Step 5: Solve for x
    x = 65,049,219,286.02/120,114.14
  6. Step 6: Final answer
    x = 541,561.71

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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.