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Finding the Third Proportional to 46,023 and 98,601

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Solution

The third proportional to 46,023 and 98,601 is: 211,245.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,023 : 98,601 = 98,601 : x
  2. Step 2: Convert to fraction form
    46,023/98,601 = 98,601/x
  3. Step 3: Cross multiply
    46,023x = 98,601 × 98,601
  4. Step 4: Simplify right side
    46,023x = 9,722,157,201
  5. Step 5: Solve for x
    x = 9,722,157,201/46,023
  6. Step 6: Final answer
    x = 211,245.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.