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Finding the Third Proportional to 66,977 and 147,583

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Solution

The third proportional to 66,977 and 147,583 is: 325,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,977 : 147,583 = 147,583 : x
  2. Step 2: Convert to fraction form
    66,977/147,583 = 147,583/x
  3. Step 3: Cross multiply
    66,977x = 147,583 × 147,583
  4. Step 4: Simplify right side
    66,977x = 21,780,741,889
  5. Step 5: Solve for x
    x = 21,780,741,889/66,977
  6. Step 6: Final answer
    x = 325,197.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.