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Finding the Third Proportional to 141,112.13 and 301,861.13

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Solution

The third proportional to 141,112.13 and 301,861.13 is: 645,728.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,112.13 : 301,861.13 = 301,861.13 : x
  2. Step 2: Convert to fraction form
    141,112.13/301,861.13 = 301,861.13/x
  3. Step 3: Cross multiply
    141,112.13x = 301,861.13 × 301,861.13
  4. Step 4: Simplify right side
    141,112.13x = 91,120,138,786.27
  5. Step 5: Solve for x
    x = 91,120,138,786.27/141,112.13
  6. Step 6: Final answer
    x = 645,728.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.