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Finding the Third Proportional to 46,232 and 94,654

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Solution

The third proportional to 46,232 and 94,654 is: 193,791.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,232 : 94,654 = 94,654 : x
  2. Step 2: Convert to fraction form
    46,232/94,654 = 94,654/x
  3. Step 3: Cross multiply
    46,232x = 94,654 × 94,654
  4. Step 4: Simplify right side
    46,232x = 8,959,379,716
  5. Step 5: Solve for x
    x = 8,959,379,716/46,232
  6. Step 6: Final answer
    x = 193,791.74

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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.