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Finding the Third Proportional to 100,992 and 158,080

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Solution

The third proportional to 100,992 and 158,080 is: 247,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,992 : 158,080 = 158,080 : x
  2. Step 2: Convert to fraction form
    100,992/158,080 = 158,080/x
  3. Step 3: Cross multiply
    100,992x = 158,080 × 158,080
  4. Step 4: Simplify right side
    100,992x = 24,989,286,400
  5. Step 5: Solve for x
    x = 24,989,286,400/100,992
  6. Step 6: Final answer
    x = 247,438.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.