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Finding the Third Proportional to 42,876 and 91,905

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Solution

The third proportional to 42,876 and 91,905 is: 196,999.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,876 : 91,905 = 91,905 : x
  2. Step 2: Convert to fraction form
    42,876/91,905 = 91,905/x
  3. Step 3: Cross multiply
    42,876x = 91,905 × 91,905
  4. Step 4: Simplify right side
    42,876x = 8,446,529,025
  5. Step 5: Solve for x
    x = 8,446,529,025/42,876
  6. Step 6: Final answer
    x = 196,999.00

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.