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Finding the Third Proportional to 47,588 and 104,740

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Solution

The third proportional to 47,588 and 104,740 is: 230,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,588 : 104,740 = 104,740 : x
  2. Step 2: Convert to fraction form
    47,588/104,740 = 104,740/x
  3. Step 3: Cross multiply
    47,588x = 104,740 × 104,740
  4. Step 4: Simplify right side
    47,588x = 10,970,467,600
  5. Step 5: Solve for x
    x = 10,970,467,600/47,588
  6. Step 6: Final answer
    x = 230,530.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.