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Finding the Third Proportional to 46,322 and 94,280

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Solution

The third proportional to 46,322 and 94,280 is: 191,889.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,322 : 94,280 = 94,280 : x
  2. Step 2: Convert to fraction form
    46,322/94,280 = 94,280/x
  3. Step 3: Cross multiply
    46,322x = 94,280 × 94,280
  4. Step 4: Simplify right side
    46,322x = 8,888,718,400
  5. Step 5: Solve for x
    x = 8,888,718,400/46,322
  6. Step 6: Final answer
    x = 191,889.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.