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Finding the Third Proportional to 46,869 and 73,293

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Solution

The third proportional to 46,869 and 73,293 is: 114,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,869 : 73,293 = 73,293 : x
  2. Step 2: Convert to fraction form
    46,869/73,293 = 73,293/x
  3. Step 3: Cross multiply
    46,869x = 73,293 × 73,293
  4. Step 4: Simplify right side
    46,869x = 5,371,863,849
  5. Step 5: Solve for x
    x = 5,371,863,849/46,869
  6. Step 6: Final answer
    x = 114,614.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.