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Finding the Third Proportional to 47,183 and 71,139

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Solution

The third proportional to 47,183 and 71,139 is: 107,258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,183 : 71,139 = 71,139 : x
  2. Step 2: Convert to fraction form
    47,183/71,139 = 71,139/x
  3. Step 3: Cross multiply
    47,183x = 71,139 × 71,139
  4. Step 4: Simplify right side
    47,183x = 5,060,757,321
  5. Step 5: Solve for x
    x = 5,060,757,321/47,183
  6. Step 6: Final answer
    x = 107,258.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.