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Finding the Third Proportional to 74,081 and 162,994

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Solution

The third proportional to 74,081 and 162,994 is: 358,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,081 : 162,994 = 162,994 : x
  2. Step 2: Convert to fraction form
    74,081/162,994 = 162,994/x
  3. Step 3: Cross multiply
    74,081x = 162,994 × 162,994
  4. Step 4: Simplify right side
    74,081x = 26,567,044,036
  5. Step 5: Solve for x
    x = 26,567,044,036/74,081
  6. Step 6: Final answer
    x = 358,621.56

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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.