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Finding the Third Proportional to 74,452 and 162,036

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Solution

The third proportional to 74,452 and 162,036 is: 352,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,452 : 162,036 = 162,036 : x
  2. Step 2: Convert to fraction form
    74,452/162,036 = 162,036/x
  3. Step 3: Cross multiply
    74,452x = 162,036 × 162,036
  4. Step 4: Simplify right side
    74,452x = 26,255,665,296
  5. Step 5: Solve for x
    x = 26,255,665,296/74,452
  6. Step 6: Final answer
    x = 352,652.25

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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.