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Finding the Third Proportional to 45,608 and 69,016

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Solution

The third proportional to 45,608 and 69,016 is: 104,438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,608 : 69,016 = 69,016 : x
  2. Step 2: Convert to fraction form
    45,608/69,016 = 69,016/x
  3. Step 3: Cross multiply
    45,608x = 69,016 × 69,016
  4. Step 4: Simplify right side
    45,608x = 4,763,208,256
  5. Step 5: Solve for x
    x = 4,763,208,256/45,608
  6. Step 6: Final answer
    x = 104,438.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.