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Finding the Third Proportional to 118,227.50 and 181,725

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Solution

The third proportional to 118,227.50 and 181,725 is: 279,325.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,227.50 : 181,725 = 181,725 : x
  2. Step 2: Convert to fraction form
    118,227.50/181,725 = 181,725/x
  3. Step 3: Cross multiply
    118,227.50x = 181,725 × 181,725
  4. Step 4: Simplify right side
    118,227.50x = 33,023,975,625
  5. Step 5: Solve for x
    x = 33,023,975,625/118,227.50
  6. Step 6: Final answer
    x = 279,325.67

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.