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Finding the Third Proportional to 74,071 and 162,965

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Solution

The third proportional to 74,071 and 162,965 is: 358,542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,071 : 162,965 = 162,965 : x
  2. Step 2: Convert to fraction form
    74,071/162,965 = 162,965/x
  3. Step 3: Cross multiply
    74,071x = 162,965 × 162,965
  4. Step 4: Simplify right side
    74,071x = 26,557,591,225
  5. Step 5: Solve for x
    x = 26,557,591,225/74,071
  6. Step 6: Final answer
    x = 358,542.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.