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Finding the Third Proportional to 57,411 and 122,173

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Solution

The third proportional to 57,411 and 122,173 is: 259,989.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,411 : 122,173 = 122,173 : x
  2. Step 2: Convert to fraction form
    57,411/122,173 = 122,173/x
  3. Step 3: Cross multiply
    57,411x = 122,173 × 122,173
  4. Step 4: Simplify right side
    57,411x = 14,926,241,929
  5. Step 5: Solve for x
    x = 14,926,241,929/57,411
  6. Step 6: Final answer
    x = 259,989.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.