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Finding the Third Proportional to 66,039 and 144,114

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Solution

The third proportional to 66,039 and 144,114 is: 314,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,039 : 144,114 = 144,114 : x
  2. Step 2: Convert to fraction form
    66,039/144,114 = 144,114/x
  3. Step 3: Cross multiply
    66,039x = 144,114 × 144,114
  4. Step 4: Simplify right side
    66,039x = 20,768,844,996
  5. Step 5: Solve for x
    x = 20,768,844,996/66,039
  6. Step 6: Final answer
    x = 314,493.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.