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Finding the Third Proportional to 51,232 and 108,080

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Solution

The third proportional to 51,232 and 108,080 is: 228,007.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,232 : 108,080 = 108,080 : x
  2. Step 2: Convert to fraction form
    51,232/108,080 = 108,080/x
  3. Step 3: Cross multiply
    51,232x = 108,080 × 108,080
  4. Step 4: Simplify right side
    51,232x = 11,681,286,400
  5. Step 5: Solve for x
    x = 11,681,286,400/51,232
  6. Step 6: Final answer
    x = 228,007.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.