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Finding the Third Proportional to 25,245 and 53,103

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Solution

The third proportional to 25,245 and 53,103 is: 111,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,245 : 53,103 = 53,103 : x
  2. Step 2: Convert to fraction form
    25,245/53,103 = 53,103/x
  3. Step 3: Cross multiply
    25,245x = 53,103 × 53,103
  4. Step 4: Simplify right side
    25,245x = 2,819,928,609
  5. Step 5: Solve for x
    x = 2,819,928,609/25,245
  6. Step 6: Final answer
    x = 111,702.46

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.