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Finding the Third Proportional to 141,423.75 and 193,272.75

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Solution

The third proportional to 141,423.75 and 193,272.75 is: 264,130.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,423.75 : 193,272.75 = 193,272.75 : x
  2. Step 2: Convert to fraction form
    141,423.75/193,272.75 = 193,272.75/x
  3. Step 3: Cross multiply
    141,423.75x = 193,272.75 × 193,272.75
  4. Step 4: Simplify right side
    141,423.75x = 37,354,355,892.56
  5. Step 5: Solve for x
    x = 37,354,355,892.56/141,423.75
  6. Step 6: Final answer
    x = 264,130.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.