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Finding the Third Proportional to 46,496 and 68,205

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Solution

The third proportional to 46,496 and 68,205 is: 100,049.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,496 : 68,205 = 68,205 : x
  2. Step 2: Convert to fraction form
    46,496/68,205 = 68,205/x
  3. Step 3: Cross multiply
    46,496x = 68,205 × 68,205
  4. Step 4: Simplify right side
    46,496x = 4,651,922,025
  5. Step 5: Solve for x
    x = 4,651,922,025/46,496
  6. Step 6: Final answer
    x = 100,049.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.