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Finding the Third Proportional to 66,522.50 and 95,631

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Solution

The third proportional to 66,522.50 and 95,631 is: 137,476.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,522.50 : 95,631 = 95,631 : x
  2. Step 2: Convert to fraction form
    66,522.50/95,631 = 95,631/x
  3. Step 3: Cross multiply
    66,522.50x = 95,631 × 95,631
  4. Step 4: Simplify right side
    66,522.50x = 9,145,288,161
  5. Step 5: Solve for x
    x = 9,145,288,161/66,522.50
  6. Step 6: Final answer
    x = 137,476.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.