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Finding the Third Proportional to 42,042 and 90,462

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Solution

The third proportional to 42,042 and 90,462 is: 194,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,042 : 90,462 = 90,462 : x
  2. Step 2: Convert to fraction form
    42,042/90,462 = 90,462/x
  3. Step 3: Cross multiply
    42,042x = 90,462 × 90,462
  4. Step 4: Simplify right side
    42,042x = 8,183,373,444
  5. Step 5: Solve for x
    x = 8,183,373,444/42,042
  6. Step 6: Final answer
    x = 194,647.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.