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Finding the Third Proportional to 68,136 and 146,631

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Solution

The third proportional to 68,136 and 146,631 is: 315,554.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,136 : 146,631 = 146,631 : x
  2. Step 2: Convert to fraction form
    68,136/146,631 = 146,631/x
  3. Step 3: Cross multiply
    68,136x = 146,631 × 146,631
  4. Step 4: Simplify right side
    68,136x = 21,500,650,161
  5. Step 5: Solve for x
    x = 21,500,650,161/68,136
  6. Step 6: Final answer
    x = 315,554.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.