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Finding the Third Proportional to 42,313 and 92,930

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Solution

The third proportional to 42,313 and 92,930 is: 204,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,313 : 92,930 = 92,930 : x
  2. Step 2: Convert to fraction form
    42,313/92,930 = 92,930/x
  3. Step 3: Cross multiply
    42,313x = 92,930 × 92,930
  4. Step 4: Simplify right side
    42,313x = 8,635,984,900
  5. Step 5: Solve for x
    x = 8,635,984,900/42,313
  6. Step 6: Final answer
    x = 204,097.67

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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.