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Finding the Third Proportional to 46,200 and 68,994

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Solution

The third proportional to 46,200 and 68,994 is: 103,034.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,200 : 68,994 = 68,994 : x
  2. Step 2: Convert to fraction form
    46,200/68,994 = 68,994/x
  3. Step 3: Cross multiply
    46,200x = 68,994 × 68,994
  4. Step 4: Simplify right side
    46,200x = 4,760,172,036
  5. Step 5: Solve for x
    x = 4,760,172,036/46,200
  6. Step 6: Final answer
    x = 103,034.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.