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Finding the Third Proportional to 45,696 and 68,546

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Solution

The third proportional to 45,696 and 68,546 is: 102,822.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,696 : 68,546 = 68,546 : x
  2. Step 2: Convert to fraction form
    45,696/68,546 = 68,546/x
  3. Step 3: Cross multiply
    45,696x = 68,546 × 68,546
  4. Step 4: Simplify right side
    45,696x = 4,698,554,116
  5. Step 5: Solve for x
    x = 4,698,554,116/45,696
  6. Step 6: Final answer
    x = 102,822.00

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