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Finding the Third Proportional to 25,644 and 55,122

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Solution

The third proportional to 25,644 and 55,122 is: 118,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,644 : 55,122 = 55,122 : x
  2. Step 2: Convert to fraction form
    25,644/55,122 = 55,122/x
  3. Step 3: Cross multiply
    25,644x = 55,122 × 55,122
  4. Step 4: Simplify right side
    25,644x = 3,038,434,884
  5. Step 5: Solve for x
    x = 3,038,434,884/25,644
  6. Step 6: Final answer
    x = 118,485.22

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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.