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Finding the Third Proportional to 140,352 and 182,100

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Solution

The third proportional to 140,352 and 182,100 is: 236,266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,352 : 182,100 = 182,100 : x
  2. Step 2: Convert to fraction form
    140,352/182,100 = 182,100/x
  3. Step 3: Cross multiply
    140,352x = 182,100 × 182,100
  4. Step 4: Simplify right side
    140,352x = 33,160,410,000
  5. Step 5: Solve for x
    x = 33,160,410,000/140,352
  6. Step 6: Final answer
    x = 236,266.03

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.