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Finding the Third Proportional to 47,413 and 104,666

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Solution

The third proportional to 47,413 and 104,666 is: 231,054.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,413 : 104,666 = 104,666 : x
  2. Step 2: Convert to fraction form
    47,413/104,666 = 104,666/x
  3. Step 3: Cross multiply
    47,413x = 104,666 × 104,666
  4. Step 4: Simplify right side
    47,413x = 10,954,971,556
  5. Step 5: Solve for x
    x = 10,954,971,556/47,413
  6. Step 6: Final answer
    x = 231,054.17

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.