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Finding the Third Proportional to 66,861.50 and 146,845

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Solution

The third proportional to 66,861.50 and 146,845 is: 322,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,861.50 : 146,845 = 146,845 : x
  2. Step 2: Convert to fraction form
    66,861.50/146,845 = 146,845/x
  3. Step 3: Cross multiply
    66,861.50x = 146,845 × 146,845
  4. Step 4: Simplify right side
    66,861.50x = 21,563,454,025
  5. Step 5: Solve for x
    x = 21,563,454,025/66,861.50
  6. Step 6: Final answer
    x = 322,509.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.