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Finding the Third Proportional to 46,740 and 100,041

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Solution

The third proportional to 46,740 and 100,041 is: 214,124.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,740 : 100,041 = 100,041 : x
  2. Step 2: Convert to fraction form
    46,740/100,041 = 100,041/x
  3. Step 3: Cross multiply
    46,740x = 100,041 × 100,041
  4. Step 4: Simplify right side
    46,740x = 10,008,201,681
  5. Step 5: Solve for x
    x = 10,008,201,681/46,740
  6. Step 6: Final answer
    x = 214,124.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.