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Finding the Third Proportional to 42,234 and 90,948

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Solution

The third proportional to 42,234 and 90,948 is: 195,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,234 : 90,948 = 90,948 : x
  2. Step 2: Convert to fraction form
    42,234/90,948 = 90,948/x
  3. Step 3: Cross multiply
    42,234x = 90,948 × 90,948
  4. Step 4: Simplify right side
    42,234x = 8,271,538,704
  5. Step 5: Solve for x
    x = 8,271,538,704/42,234
  6. Step 6: Final answer
    x = 195,850.23

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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.