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Finding the Third Proportional to 69,876 and 105,138

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Solution

The third proportional to 69,876 and 105,138 is: 158,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,876 : 105,138 = 105,138 : x
  2. Step 2: Convert to fraction form
    69,876/105,138 = 105,138/x
  3. Step 3: Cross multiply
    69,876x = 105,138 × 105,138
  4. Step 4: Simplify right side
    69,876x = 11,053,999,044
  5. Step 5: Solve for x
    x = 11,053,999,044/69,876
  6. Step 6: Final answer
    x = 158,194.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.