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Finding the Third Proportional to 137,181 and 182,070

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Solution

The third proportional to 137,181 and 182,070 is: 241,647.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,181 : 182,070 = 182,070 : x
  2. Step 2: Convert to fraction form
    137,181/182,070 = 182,070/x
  3. Step 3: Cross multiply
    137,181x = 182,070 × 182,070
  4. Step 4: Simplify right side
    137,181x = 33,149,484,900
  5. Step 5: Solve for x
    x = 33,149,484,900/137,181
  6. Step 6: Final answer
    x = 241,647.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.