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Finding the Third Proportional to 28,175 and 62,173

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Solution

The third proportional to 28,175 and 62,173 is: 137,195.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,175 : 62,173 = 62,173 : x
  2. Step 2: Convert to fraction form
    28,175/62,173 = 62,173/x
  3. Step 3: Cross multiply
    28,175x = 62,173 × 62,173
  4. Step 4: Simplify right side
    28,175x = 3,865,481,929
  5. Step 5: Solve for x
    x = 3,865,481,929/28,175
  6. Step 6: Final answer
    x = 137,195.45

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.