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Finding the Third Proportional to 47,170 and 102,658

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Solution

The third proportional to 47,170 and 102,658 is: 223,418.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,170 : 102,658 = 102,658 : x
  2. Step 2: Convert to fraction form
    47,170/102,658 = 102,658/x
  3. Step 3: Cross multiply
    47,170x = 102,658 × 102,658
  4. Step 4: Simplify right side
    47,170x = 10,538,664,964
  5. Step 5: Solve for x
    x = 10,538,664,964/47,170
  6. Step 6: Final answer
    x = 223,418.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.