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Finding the Third Proportional to 57,402 and 126,164

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Solution

The third proportional to 57,402 and 126,164 is: 277,296.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,402 : 126,164 = 126,164 : x
  2. Step 2: Convert to fraction form
    57,402/126,164 = 126,164/x
  3. Step 3: Cross multiply
    57,402x = 126,164 × 126,164
  4. Step 4: Simplify right side
    57,402x = 15,917,354,896
  5. Step 5: Solve for x
    x = 15,917,354,896/57,402
  6. Step 6: Final answer
    x = 277,296.17

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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.