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Finding the Third Proportional to 57,402 and 125,901

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Solution

The third proportional to 57,402 and 125,901 is: 276,141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,402 : 125,901 = 125,901 : x
  2. Step 2: Convert to fraction form
    57,402/125,901 = 125,901/x
  3. Step 3: Cross multiply
    57,402x = 125,901 × 125,901
  4. Step 4: Simplify right side
    57,402x = 15,851,061,801
  5. Step 5: Solve for x
    x = 15,851,061,801/57,402
  6. Step 6: Final answer
    x = 276,141.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.