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Finding the Third Proportional to 58,238 and 136,901

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Solution

The third proportional to 58,238 and 136,901 is: 321,815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,238 : 136,901 = 136,901 : x
  2. Step 2: Convert to fraction form
    58,238/136,901 = 136,901/x
  3. Step 3: Cross multiply
    58,238x = 136,901 × 136,901
  4. Step 4: Simplify right side
    58,238x = 18,741,883,801
  5. Step 5: Solve for x
    x = 18,741,883,801/58,238
  6. Step 6: Final answer
    x = 321,815.37

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.