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Finding the Third Proportional to 74,468 and 162,067

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Solution

The third proportional to 74,468 and 162,067 is: 352,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,468 : 162,067 = 162,067 : x
  2. Step 2: Convert to fraction form
    74,468/162,067 = 162,067/x
  3. Step 3: Cross multiply
    74,468x = 162,067 × 162,067
  4. Step 4: Simplify right side
    74,468x = 26,265,712,489
  5. Step 5: Solve for x
    x = 26,265,712,489/74,468
  6. Step 6: Final answer
    x = 352,711.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.