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Finding the Third Proportional to 25,777 and 60,228

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Solution

The third proportional to 25,777 and 60,228 is: 140,722.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,777 : 60,228 = 60,228 : x
  2. Step 2: Convert to fraction form
    25,777/60,228 = 60,228/x
  3. Step 3: Cross multiply
    25,777x = 60,228 × 60,228
  4. Step 4: Simplify right side
    25,777x = 3,627,411,984
  5. Step 5: Solve for x
    x = 3,627,411,984/25,777
  6. Step 6: Final answer
    x = 140,722.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.