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Finding the Third Proportional to 50,594 and 75,830

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Solution

The third proportional to 50,594 and 75,830 is: 113,653.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,594 : 75,830 = 75,830 : x
  2. Step 2: Convert to fraction form
    50,594/75,830 = 75,830/x
  3. Step 3: Cross multiply
    50,594x = 75,830 × 75,830
  4. Step 4: Simplify right side
    50,594x = 5,750,188,900
  5. Step 5: Solve for x
    x = 5,750,188,900/50,594
  6. Step 6: Final answer
    x = 113,653.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.