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Finding the Third Proportional to 66,844 and 144,595

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Solution

The third proportional to 66,844 and 144,595 is: 312,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,844 : 144,595 = 144,595 : x
  2. Step 2: Convert to fraction form
    66,844/144,595 = 144,595/x
  3. Step 3: Cross multiply
    66,844x = 144,595 × 144,595
  4. Step 4: Simplify right side
    66,844x = 20,907,714,025
  5. Step 5: Solve for x
    x = 20,907,714,025/66,844
  6. Step 6: Final answer
    x = 312,783.71

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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.