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Finding the Third Proportional to 69,216.75 and 101,881

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Solution

The third proportional to 69,216.75 and 101,881 is: 149,959.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,216.75 : 101,881 = 101,881 : x
  2. Step 2: Convert to fraction form
    69,216.75/101,881 = 101,881/x
  3. Step 3: Cross multiply
    69,216.75x = 101,881 × 101,881
  4. Step 4: Simplify right side
    69,216.75x = 10,379,738,161
  5. Step 5: Solve for x
    x = 10,379,738,161/69,216.75
  6. Step 6: Final answer
    x = 149,959.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.