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Finding the Third Proportional to 141,000.75 and 203,725.13

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Solution

The third proportional to 141,000.75 and 203,725.13 is: 294,352.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,000.75 : 203,725.13 = 203,725.13 : x
  2. Step 2: Convert to fraction form
    141,000.75/203,725.13 = 203,725.13/x
  3. Step 3: Cross multiply
    141,000.75x = 203,725.13 × 203,725.13
  4. Step 4: Simplify right side
    141,000.75x = 41,503,926,556.27
  5. Step 5: Solve for x
    x = 41,503,926,556.27/141,000.75
  6. Step 6: Final answer
    x = 294,352.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.