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Finding the Third Proportional to 74,128 and 162,098

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Solution

The third proportional to 74,128 and 162,098 is: 354,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,128 : 162,098 = 162,098 : x
  2. Step 2: Convert to fraction form
    74,128/162,098 = 162,098/x
  3. Step 3: Cross multiply
    74,128x = 162,098 × 162,098
  4. Step 4: Simplify right side
    74,128x = 26,275,761,604
  5. Step 5: Solve for x
    x = 26,275,761,604/74,128
  6. Step 6: Final answer
    x = 354,464.73

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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.