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Finding the Third Proportional to 107,163 and 161,716

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Solution

The third proportional to 107,163 and 161,716 is: 244,040.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,163 : 161,716 = 161,716 : x
  2. Step 2: Convert to fraction form
    107,163/161,716 = 161,716/x
  3. Step 3: Cross multiply
    107,163x = 161,716 × 161,716
  4. Step 4: Simplify right side
    107,163x = 26,152,064,656
  5. Step 5: Solve for x
    x = 26,152,064,656/107,163
  6. Step 6: Final answer
    x = 244,040.06

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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.