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Finding the Third Proportional to 66,906.16 and 144,256.57

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Solution

The third proportional to 66,906.16 and 144,256.57 is: 311,032.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,906.16 : 144,256.57 = 144,256.57 : x
  2. Step 2: Convert to fraction form
    66,906.16/144,256.57 = 144,256.57/x
  3. Step 3: Cross multiply
    66,906.16x = 144,256.57 × 144,256.57
  4. Step 4: Simplify right side
    66,906.16x = 20,809,958,078.33
  5. Step 5: Solve for x
    x = 20,809,958,078.33/66,906.16
  6. Step 6: Final answer
    x = 311,032.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.