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Finding the Third Proportional to 66,861 and 146,842.50

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Solution

The third proportional to 66,861 and 146,842.50 is: 322,500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,861 : 146,842.50 = 146,842.50 : x
  2. Step 2: Convert to fraction form
    66,861/146,842.50 = 146,842.50/x
  3. Step 3: Cross multiply
    66,861x = 146,842.50 × 146,842.50
  4. Step 4: Simplify right side
    66,861x = 21,562,719,806.25
  5. Step 5: Solve for x
    x = 21,562,719,806.25/66,861
  6. Step 6: Final answer
    x = 322,500.71

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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.