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Finding the Third Proportional to 46,821 and 102,666

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Solution

The third proportional to 46,821 and 102,666 is: 225,119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,821 : 102,666 = 102,666 : x
  2. Step 2: Convert to fraction form
    46,821/102,666 = 102,666/x
  3. Step 3: Cross multiply
    46,821x = 102,666 × 102,666
  4. Step 4: Simplify right side
    46,821x = 10,540,307,556
  5. Step 5: Solve for x
    x = 10,540,307,556/46,821
  6. Step 6: Final answer
    x = 225,119.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.