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Finding the Third Proportional to 69,906 and 100,773

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Solution

The third proportional to 69,906 and 100,773 is: 145,269.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,906 : 100,773 = 100,773 : x
  2. Step 2: Convert to fraction form
    69,906/100,773 = 100,773/x
  3. Step 3: Cross multiply
    69,906x = 100,773 × 100,773
  4. Step 4: Simplify right side
    69,906x = 10,155,197,529
  5. Step 5: Solve for x
    x = 10,155,197,529/69,906
  6. Step 6: Final answer
    x = 145,269.33

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.