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Finding the Third Proportional to 66,136.50 and 94,243.50

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Solution

The third proportional to 66,136.50 and 94,243.50 is: 134,295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,136.50 : 94,243.50 = 94,243.50 : x
  2. Step 2: Convert to fraction form
    66,136.50/94,243.50 = 94,243.50/x
  3. Step 3: Cross multiply
    66,136.50x = 94,243.50 × 94,243.50
  4. Step 4: Simplify right side
    66,136.50x = 8,881,837,292.25
  5. Step 5: Solve for x
    x = 8,881,837,292.25/66,136.50
  6. Step 6: Final answer
    x = 134,295.54

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.