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Finding the Third Proportional to 47,581 and 71,094

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Solution

The third proportional to 47,581 and 71,094 is: 106,226.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,581 : 71,094 = 71,094 : x
  2. Step 2: Convert to fraction form
    47,581/71,094 = 71,094/x
  3. Step 3: Cross multiply
    47,581x = 71,094 × 71,094
  4. Step 4: Simplify right side
    47,581x = 5,054,356,836
  5. Step 5: Solve for x
    x = 5,054,356,836/47,581
  6. Step 6: Final answer
    x = 106,226.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.