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Finding the Third Proportional to 46,194 and 107,772

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Solution

The third proportional to 46,194 and 107,772 is: 251,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,194 : 107,772 = 107,772 : x
  2. Step 2: Convert to fraction form
    46,194/107,772 = 107,772/x
  3. Step 3: Cross multiply
    46,194x = 107,772 × 107,772
  4. Step 4: Simplify right side
    46,194x = 11,614,803,984
  5. Step 5: Solve for x
    x = 11,614,803,984/46,194
  6. Step 6: Final answer
    x = 251,435.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.