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Finding the Third Proportional to 107,969 and 168,034

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Solution

The third proportional to 107,969 and 168,034 is: 261,514.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,969 : 168,034 = 168,034 : x
  2. Step 2: Convert to fraction form
    107,969/168,034 = 168,034/x
  3. Step 3: Cross multiply
    107,969x = 168,034 × 168,034
  4. Step 4: Simplify right side
    107,969x = 28,235,425,156
  5. Step 5: Solve for x
    x = 28,235,425,156/107,969
  6. Step 6: Final answer
    x = 261,514.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.