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Finding the Third Proportional to 46,263 and 69,268

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Solution

The third proportional to 46,263 and 69,268 is: 103,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,263 : 69,268 = 69,268 : x
  2. Step 2: Convert to fraction form
    46,263/69,268 = 69,268/x
  3. Step 3: Cross multiply
    46,263x = 69,268 × 69,268
  4. Step 4: Simplify right side
    46,263x = 4,798,055,824
  5. Step 5: Solve for x
    x = 4,798,055,824/46,263
  6. Step 6: Final answer
    x = 103,712.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.