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Finding the Third Proportional to 66,650.50 and 148,063

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Solution

The third proportional to 66,650.50 and 148,063 is: 328,919.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,650.50 : 148,063 = 148,063 : x
  2. Step 2: Convert to fraction form
    66,650.50/148,063 = 148,063/x
  3. Step 3: Cross multiply
    66,650.50x = 148,063 × 148,063
  4. Step 4: Simplify right side
    66,650.50x = 21,922,651,969
  5. Step 5: Solve for x
    x = 21,922,651,969/66,650.50
  6. Step 6: Final answer
    x = 328,919.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.