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Finding the Third Proportional to 46,958 and 104,412

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Solution

The third proportional to 46,958 and 104,412 is: 232,162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,958 : 104,412 = 104,412 : x
  2. Step 2: Convert to fraction form
    46,958/104,412 = 104,412/x
  3. Step 3: Cross multiply
    46,958x = 104,412 × 104,412
  4. Step 4: Simplify right side
    46,958x = 10,901,865,744
  5. Step 5: Solve for x
    x = 10,901,865,744/46,958
  6. Step 6: Final answer
    x = 232,162.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.