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Finding the Third Proportional to 47,158 and 102,740

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Solution

The third proportional to 47,158 and 102,740 is: 223,832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,158 : 102,740 = 102,740 : x
  2. Step 2: Convert to fraction form
    47,158/102,740 = 102,740/x
  3. Step 3: Cross multiply
    47,158x = 102,740 × 102,740
  4. Step 4: Simplify right side
    47,158x = 10,555,507,600
  5. Step 5: Solve for x
    x = 10,555,507,600/47,158
  6. Step 6: Final answer
    x = 223,832.81

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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.