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Finding the Third Proportional to 133,053.75 and 194,627.25

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Solution

The third proportional to 133,053.75 and 194,627.25 is: 284,695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,053.75 : 194,627.25 = 194,627.25 : x
  2. Step 2: Convert to fraction form
    133,053.75/194,627.25 = 194,627.25/x
  3. Step 3: Cross multiply
    133,053.75x = 194,627.25 × 194,627.25
  4. Step 4: Simplify right side
    133,053.75x = 37,879,766,442.56
  5. Step 5: Solve for x
    x = 37,879,766,442.56/133,053.75
  6. Step 6: Final answer
    x = 284,695.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.