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Finding the Third Proportional to 141,672.75 and 196,356

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Solution

The third proportional to 141,672.75 and 196,356 is: 272,146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,672.75 : 196,356 = 196,356 : x
  2. Step 2: Convert to fraction form
    141,672.75/196,356 = 196,356/x
  3. Step 3: Cross multiply
    141,672.75x = 196,356 × 196,356
  4. Step 4: Simplify right side
    141,672.75x = 38,555,678,736
  5. Step 5: Solve for x
    x = 38,555,678,736/141,672.75
  6. Step 6: Final answer
    x = 272,146.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.