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Finding the Third Proportional to 73,842 and 162,450

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Solution

The third proportional to 73,842 and 162,450 is: 357,384.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,842 : 162,450 = 162,450 : x
  2. Step 2: Convert to fraction form
    73,842/162,450 = 162,450/x
  3. Step 3: Cross multiply
    73,842x = 162,450 × 162,450
  4. Step 4: Simplify right side
    73,842x = 26,390,002,500
  5. Step 5: Solve for x
    x = 26,390,002,500/73,842
  6. Step 6: Final answer
    x = 357,384.72

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.