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Finding the Third Proportional to 133,070 and 182,325

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Solution

The third proportional to 133,070 and 182,325 is: 249,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,070 : 182,325 = 182,325 : x
  2. Step 2: Convert to fraction form
    133,070/182,325 = 182,325/x
  3. Step 3: Cross multiply
    133,070x = 182,325 × 182,325
  4. Step 4: Simplify right side
    133,070x = 33,242,405,625
  5. Step 5: Solve for x
    x = 33,242,405,625/133,070
  6. Step 6: Final answer
    x = 249,811.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.