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Finding the Third Proportional to 46,669 and 102,412

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Solution

The third proportional to 46,669 and 102,412 is: 224,736.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,669 : 102,412 = 102,412 : x
  2. Step 2: Convert to fraction form
    46,669/102,412 = 102,412/x
  3. Step 3: Cross multiply
    46,669x = 102,412 × 102,412
  4. Step 4: Simplify right side
    46,669x = 10,488,217,744
  5. Step 5: Solve for x
    x = 10,488,217,744/46,669
  6. Step 6: Final answer
    x = 224,736.29

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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.