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Finding the Third Proportional to 74,002 and 161,838

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Solution

The third proportional to 74,002 and 161,838 is: 353,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,002 : 161,838 = 161,838 : x
  2. Step 2: Convert to fraction form
    74,002/161,838 = 161,838/x
  3. Step 3: Cross multiply
    74,002x = 161,838 × 161,838
  4. Step 4: Simplify right side
    74,002x = 26,191,538,244
  5. Step 5: Solve for x
    x = 26,191,538,244/74,002
  6. Step 6: Final answer
    x = 353,930.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.