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Finding the Third Proportional to 107,071 and 166,535

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Solution

The third proportional to 107,071 and 166,535 is: 259,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,071 : 166,535 = 166,535 : x
  2. Step 2: Convert to fraction form
    107,071/166,535 = 166,535/x
  3. Step 3: Cross multiply
    107,071x = 166,535 × 166,535
  4. Step 4: Simplify right side
    107,071x = 27,733,906,225
  5. Step 5: Solve for x
    x = 27,733,906,225/107,071
  6. Step 6: Final answer
    x = 259,023.51

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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.