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Finding the Third Proportional to 66,742 and 145,100

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Solution

The third proportional to 66,742 and 145,100 is: 315,453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,742 : 145,100 = 145,100 : x
  2. Step 2: Convert to fraction form
    66,742/145,100 = 145,100/x
  3. Step 3: Cross multiply
    66,742x = 145,100 × 145,100
  4. Step 4: Simplify right side
    66,742x = 21,054,010,000
  5. Step 5: Solve for x
    x = 21,054,010,000/66,742
  6. Step 6: Final answer
    x = 315,453.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.