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Finding the Third Proportional to 25,640 and 56,104

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Solution

The third proportional to 25,640 and 56,104 is: 122,763.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,640 : 56,104 = 56,104 : x
  2. Step 2: Convert to fraction form
    25,640/56,104 = 56,104/x
  3. Step 3: Cross multiply
    25,640x = 56,104 × 56,104
  4. Step 4: Simplify right side
    25,640x = 3,147,658,816
  5. Step 5: Solve for x
    x = 3,147,658,816/25,640
  6. Step 6: Final answer
    x = 122,763.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.