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Finding the Third Proportional to 46,235 and 94,657

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Solution

The third proportional to 46,235 and 94,657 is: 193,791.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,235 : 94,657 = 94,657 : x
  2. Step 2: Convert to fraction form
    46,235/94,657 = 94,657/x
  3. Step 3: Cross multiply
    46,235x = 94,657 × 94,657
  4. Step 4: Simplify right side
    46,235x = 8,959,947,649
  5. Step 5: Solve for x
    x = 8,959,947,649/46,235
  6. Step 6: Final answer
    x = 193,791.45

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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.