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Finding the Third Proportional to 123,540.75 and 186,327

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Solution

The third proportional to 123,540.75 and 186,327 is: 281,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,540.75 : 186,327 = 186,327 : x
  2. Step 2: Convert to fraction form
    123,540.75/186,327 = 186,327/x
  3. Step 3: Cross multiply
    123,540.75x = 186,327 × 186,327
  4. Step 4: Simplify right side
    123,540.75x = 34,717,750,929
  5. Step 5: Solve for x
    x = 34,717,750,929/123,540.75
  6. Step 6: Final answer
    x = 281,022.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.