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Finding the Third Proportional to 46,955 and 104,404

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Solution

The third proportional to 46,955 and 104,404 is: 232,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,955 : 104,404 = 104,404 : x
  2. Step 2: Convert to fraction form
    46,955/104,404 = 104,404/x
  3. Step 3: Cross multiply
    46,955x = 104,404 × 104,404
  4. Step 4: Simplify right side
    46,955x = 10,900,195,216
  5. Step 5: Solve for x
    x = 10,900,195,216/46,955
  6. Step 6: Final answer
    x = 232,141.31

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.