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Finding the Third Proportional to 50,850 and 118,786

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Solution

The third proportional to 50,850 and 118,786 is: 277,485.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,850 : 118,786 = 118,786 : x
  2. Step 2: Convert to fraction form
    50,850/118,786 = 118,786/x
  3. Step 3: Cross multiply
    50,850x = 118,786 × 118,786
  4. Step 4: Simplify right side
    50,850x = 14,110,113,796
  5. Step 5: Solve for x
    x = 14,110,113,796/50,850
  6. Step 6: Final answer
    x = 277,485.03

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.