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Finding the Third Proportional to 117,692 and 259,138

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Solution

The third proportional to 117,692 and 259,138 is: 570,578.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,692 : 259,138 = 259,138 : x
  2. Step 2: Convert to fraction form
    117,692/259,138 = 259,138/x
  3. Step 3: Cross multiply
    117,692x = 259,138 × 259,138
  4. Step 4: Simplify right side
    117,692x = 67,152,503,044
  5. Step 5: Solve for x
    x = 67,152,503,044/117,692
  6. Step 6: Final answer
    x = 570,578.31

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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.