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Finding the Third Proportional to 46,198 and 69,714

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Solution

The third proportional to 46,198 and 69,714 is: 105,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,198 : 69,714 = 69,714 : x
  2. Step 2: Convert to fraction form
    46,198/69,714 = 69,714/x
  3. Step 3: Cross multiply
    46,198x = 69,714 × 69,714
  4. Step 4: Simplify right side
    46,198x = 4,860,041,796
  5. Step 5: Solve for x
    x = 4,860,041,796/46,198
  6. Step 6: Final answer
    x = 105,200.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.