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Finding the Third Proportional to 68,328 and 95,546

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Solution

The third proportional to 68,328 and 95,546 is: 133,606.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,328 : 95,546 = 95,546 : x
  2. Step 2: Convert to fraction form
    68,328/95,546 = 95,546/x
  3. Step 3: Cross multiply
    68,328x = 95,546 × 95,546
  4. Step 4: Simplify right side
    68,328x = 9,129,038,116
  5. Step 5: Solve for x
    x = 9,129,038,116/68,328
  6. Step 6: Final answer
    x = 133,606.11

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.