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Finding the Third Proportional to 107,161 and 161,713

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Solution

The third proportional to 107,161 and 161,713 is: 244,035.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,161 : 161,713 = 161,713 : x
  2. Step 2: Convert to fraction form
    107,161/161,713 = 161,713/x
  3. Step 3: Cross multiply
    107,161x = 161,713 × 161,713
  4. Step 4: Simplify right side
    107,161x = 26,151,094,369
  5. Step 5: Solve for x
    x = 26,151,094,369/107,161
  6. Step 6: Final answer
    x = 244,035.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.