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Finding the Third Proportional to 47,823 and 97,758

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Solution

The third proportional to 47,823 and 97,758 is: 199,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,823 : 97,758 = 97,758 : x
  2. Step 2: Convert to fraction form
    47,823/97,758 = 97,758/x
  3. Step 3: Cross multiply
    47,823x = 97,758 × 97,758
  4. Step 4: Simplify right side
    47,823x = 9,556,626,564
  5. Step 5: Solve for x
    x = 9,556,626,564/47,823
  6. Step 6: Final answer
    x = 199,833.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.