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Finding the Third Proportional to 117,675 and 259,103

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Solution

The third proportional to 117,675 and 259,103 is: 570,506.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,675 : 259,103 = 259,103 : x
  2. Step 2: Convert to fraction form
    117,675/259,103 = 259,103/x
  3. Step 3: Cross multiply
    117,675x = 259,103 × 259,103
  4. Step 4: Simplify right side
    117,675x = 67,134,364,609
  5. Step 5: Solve for x
    x = 67,134,364,609/117,675
  6. Step 6: Final answer
    x = 570,506.60

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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.