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Finding the Third Proportional to 131,626.69 and 211,975.31

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Solution

The third proportional to 131,626.69 and 211,975.31 is: 341,370.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,626.69 : 211,975.31 = 211,975.31 : x
  2. Step 2: Convert to fraction form
    131,626.69/211,975.31 = 211,975.31/x
  3. Step 3: Cross multiply
    131,626.69x = 211,975.31 × 211,975.31
  4. Step 4: Simplify right side
    131,626.69x = 44,933,533,109.47
  5. Step 5: Solve for x
    x = 44,933,533,109.47/131,626.69
  6. Step 6: Final answer
    x = 341,370.99

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.