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Finding the Third Proportional to 66,718.50 and 146,559

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Solution

The third proportional to 66,718.50 and 146,559 is: 321,942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,718.50 : 146,559 = 146,559 : x
  2. Step 2: Convert to fraction form
    66,718.50/146,559 = 146,559/x
  3. Step 3: Cross multiply
    66,718.50x = 146,559 × 146,559
  4. Step 4: Simplify right side
    66,718.50x = 21,479,540,481
  5. Step 5: Solve for x
    x = 21,479,540,481/66,718.50
  6. Step 6: Final answer
    x = 321,942.80

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