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Finding the Third Proportional to 100,032 and 158,400

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Solution

The third proportional to 100,032 and 158,400 is: 250,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,032 : 158,400 = 158,400 : x
  2. Step 2: Convert to fraction form
    100,032/158,400 = 158,400/x
  3. Step 3: Cross multiply
    100,032x = 158,400 × 158,400
  4. Step 4: Simplify right side
    100,032x = 25,090,560,000
  5. Step 5: Solve for x
    x = 25,090,560,000/100,032
  6. Step 6: Final answer
    x = 250,825.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.