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Finding the Third Proportional to 117,072 and 251,901

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Solution

The third proportional to 117,072 and 251,901 is: 542,009.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,072 : 251,901 = 251,901 : x
  2. Step 2: Convert to fraction form
    117,072/251,901 = 251,901/x
  3. Step 3: Cross multiply
    117,072x = 251,901 × 251,901
  4. Step 4: Simplify right side
    117,072x = 63,454,113,801
  5. Step 5: Solve for x
    x = 63,454,113,801/117,072
  6. Step 6: Final answer
    x = 542,009.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.