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Finding the Third Proportional to 115,426 and 173,901

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Solution

The third proportional to 115,426 and 173,901 is: 261,999.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,426 : 173,901 = 173,901 : x
  2. Step 2: Convert to fraction form
    115,426/173,901 = 173,901/x
  3. Step 3: Cross multiply
    115,426x = 173,901 × 173,901
  4. Step 4: Simplify right side
    115,426x = 30,241,557,801
  5. Step 5: Solve for x
    x = 30,241,557,801/115,426
  6. Step 6: Final answer
    x = 261,999.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.