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Finding the Third Proportional to 77,219.26 and 141,624.07

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Solution

The third proportional to 77,219.26 and 141,624.07 is: 259,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,219.26 : 141,624.07 = 141,624.07 : x
  2. Step 2: Convert to fraction form
    77,219.26/141,624.07 = 141,624.07/x
  3. Step 3: Cross multiply
    77,219.26x = 141,624.07 × 141,624.07
  4. Step 4: Simplify right side
    77,219.26x = 20,057,377,291.88
  5. Step 5: Solve for x
    x = 20,057,377,291.88/77,219.26
  6. Step 6: Final answer
    x = 259,745.78

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.