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Finding the Third Proportional to 66,172 and 144,007

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Solution

The third proportional to 66,172 and 144,007 is: 313,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,172 : 144,007 = 144,007 : x
  2. Step 2: Convert to fraction form
    66,172/144,007 = 144,007/x
  3. Step 3: Cross multiply
    66,172x = 144,007 × 144,007
  4. Step 4: Simplify right side
    66,172x = 20,738,016,049
  5. Step 5: Solve for x
    x = 20,738,016,049/66,172
  6. Step 6: Final answer
    x = 313,395.64

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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.