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Finding the Third Proportional to 51,132 and 114,168

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Solution

The third proportional to 51,132 and 114,168 is: 254,915.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,132 : 114,168 = 114,168 : x
  2. Step 2: Convert to fraction form
    51,132/114,168 = 114,168/x
  3. Step 3: Cross multiply
    51,132x = 114,168 × 114,168
  4. Step 4: Simplify right side
    51,132x = 13,034,332,224
  5. Step 5: Solve for x
    x = 13,034,332,224/51,132
  6. Step 6: Final answer
    x = 254,915.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.