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Finding the Third Proportional to 46,078 and 69,293

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Solution

The third proportional to 46,078 and 69,293 is: 104,204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,078 : 69,293 = 69,293 : x
  2. Step 2: Convert to fraction form
    46,078/69,293 = 69,293/x
  3. Step 3: Cross multiply
    46,078x = 69,293 × 69,293
  4. Step 4: Simplify right side
    46,078x = 4,801,519,849
  5. Step 5: Solve for x
    x = 4,801,519,849/46,078
  6. Step 6: Final answer
    x = 104,204.17

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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.