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Finding the Third Proportional to 42,117 and 90,794

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Solution

The third proportional to 42,117 and 90,794 is: 195,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,117 : 90,794 = 90,794 : x
  2. Step 2: Convert to fraction form
    42,117/90,794 = 90,794/x
  3. Step 3: Cross multiply
    42,117x = 90,794 × 90,794
  4. Step 4: Simplify right side
    42,117x = 8,243,550,436
  5. Step 5: Solve for x
    x = 8,243,550,436/42,117
  6. Step 6: Final answer
    x = 195,729.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.