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Finding the Third Proportional to 47,658 and 104,208

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Solution

The third proportional to 47,658 and 104,208 is: 227,859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,658 : 104,208 = 104,208 : x
  2. Step 2: Convert to fraction form
    47,658/104,208 = 104,208/x
  3. Step 3: Cross multiply
    47,658x = 104,208 × 104,208
  4. Step 4: Simplify right side
    47,658x = 10,859,307,264
  5. Step 5: Solve for x
    x = 10,859,307,264/47,658
  6. Step 6: Final answer
    x = 227,859.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.