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Finding the Third Proportional to 47,058 and 100,938

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Solution

The third proportional to 47,058 and 100,938 is: 216,508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,058 : 100,938 = 100,938 : x
  2. Step 2: Convert to fraction form
    47,058/100,938 = 100,938/x
  3. Step 3: Cross multiply
    47,058x = 100,938 × 100,938
  4. Step 4: Simplify right side
    47,058x = 10,188,479,844
  5. Step 5: Solve for x
    x = 10,188,479,844/47,058
  6. Step 6: Final answer
    x = 216,508.99

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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.