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Finding the Third Proportional to 102,077 and 145,175

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Solution

The third proportional to 102,077 and 145,175 is: 206,469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,077 : 145,175 = 145,175 : x
  2. Step 2: Convert to fraction form
    102,077/145,175 = 145,175/x
  3. Step 3: Cross multiply
    102,077x = 145,175 × 145,175
  4. Step 4: Simplify right side
    102,077x = 21,075,780,625
  5. Step 5: Solve for x
    x = 21,075,780,625/102,077
  6. Step 6: Final answer
    x = 206,469.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.