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Finding the Third Proportional to 45,388 and 69,996

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Solution

The third proportional to 45,388 and 69,996 is: 107,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,388 : 69,996 = 69,996 : x
  2. Step 2: Convert to fraction form
    45,388/69,996 = 69,996/x
  3. Step 3: Cross multiply
    45,388x = 69,996 × 69,996
  4. Step 4: Simplify right side
    45,388x = 4,899,440,016
  5. Step 5: Solve for x
    x = 4,899,440,016/45,388
  6. Step 6: Final answer
    x = 107,945.71

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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.