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Finding the Third Proportional to 46,945 and 96,076

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Solution

The third proportional to 46,945 and 96,076 is: 196,625.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,945 : 96,076 = 96,076 : x
  2. Step 2: Convert to fraction form
    46,945/96,076 = 96,076/x
  3. Step 3: Cross multiply
    46,945x = 96,076 × 96,076
  4. Step 4: Simplify right side
    46,945x = 9,230,597,776
  5. Step 5: Solve for x
    x = 9,230,597,776/46,945
  6. Step 6: Final answer
    x = 196,625.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.