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Finding the Third Proportional to 46,684 and 107,962

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Solution

The third proportional to 46,684 and 107,962 is: 249,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,684 : 107,962 = 107,962 : x
  2. Step 2: Convert to fraction form
    46,684/107,962 = 107,962/x
  3. Step 3: Cross multiply
    46,684x = 107,962 × 107,962
  4. Step 4: Simplify right side
    46,684x = 11,655,793,444
  5. Step 5: Solve for x
    x = 11,655,793,444/46,684
  6. Step 6: Final answer
    x = 249,674.27

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.