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Finding the Third Proportional to 49,971 and 76,886

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Solution

The third proportional to 49,971 and 76,886 is: 118,297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,971 : 76,886 = 76,886 : x
  2. Step 2: Convert to fraction form
    49,971/76,886 = 76,886/x
  3. Step 3: Cross multiply
    49,971x = 76,886 × 76,886
  4. Step 4: Simplify right side
    49,971x = 5,911,456,996
  5. Step 5: Solve for x
    x = 5,911,456,996/49,971
  6. Step 6: Final answer
    x = 118,297.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.