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Finding the Third Proportional to 46,696 and 107,992

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Solution

The third proportional to 46,696 and 107,992 is: 249,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,696 : 107,992 = 107,992 : x
  2. Step 2: Convert to fraction form
    46,696/107,992 = 107,992/x
  3. Step 3: Cross multiply
    46,696x = 107,992 × 107,992
  4. Step 4: Simplify right side
    46,696x = 11,662,272,064
  5. Step 5: Solve for x
    x = 11,662,272,064/46,696
  6. Step 6: Final answer
    x = 249,748.84

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Why These Related Problems?

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