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Finding the Third Proportional to 107,861.63 and 168,834.38

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Solution

The third proportional to 107,861.63 and 168,834.38 is: 264,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,861.63 : 168,834.38 = 168,834.38 : x
  2. Step 2: Convert to fraction form
    107,861.63/168,834.38 = 168,834.38/x
  3. Step 3: Cross multiply
    107,861.63x = 168,834.38 × 168,834.38
  4. Step 4: Simplify right side
    107,861.63x = 28,505,046,181.64
  5. Step 5: Solve for x
    x = 28,505,046,181.64/107,861.63
  6. Step 6: Final answer
    x = 264,274.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.