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Finding the Third Proportional to 49,891 and 78,986

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Solution

The third proportional to 49,891 and 78,986 is: 125,048.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,891 : 78,986 = 78,986 : x
  2. Step 2: Convert to fraction form
    49,891/78,986 = 78,986/x
  3. Step 3: Cross multiply
    49,891x = 78,986 × 78,986
  4. Step 4: Simplify right side
    49,891x = 6,238,788,196
  5. Step 5: Solve for x
    x = 6,238,788,196/49,891
  6. Step 6: Final answer
    x = 125,048.37

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.