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Finding the Third Proportional to 107,190 and 157,682

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Solution

The third proportional to 107,190 and 157,682 is: 231,958.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,190 : 157,682 = 157,682 : x
  2. Step 2: Convert to fraction form
    107,190/157,682 = 157,682/x
  3. Step 3: Cross multiply
    107,190x = 157,682 × 157,682
  4. Step 4: Simplify right side
    107,190x = 24,863,613,124
  5. Step 5: Solve for x
    x = 24,863,613,124/107,190
  6. Step 6: Final answer
    x = 231,958.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.