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Finding the Third Proportional to 46,945 and 104,385

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Solution

The third proportional to 46,945 and 104,385 is: 232,106.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,945 : 104,385 = 104,385 : x
  2. Step 2: Convert to fraction form
    46,945/104,385 = 104,385/x
  3. Step 3: Cross multiply
    46,945x = 104,385 × 104,385
  4. Step 4: Simplify right side
    46,945x = 10,896,228,225
  5. Step 5: Solve for x
    x = 10,896,228,225/46,945
  6. Step 6: Final answer
    x = 232,106.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.