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Finding the Third Proportional to 84,242.50 and 180,149

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Solution

The third proportional to 84,242.50 and 180,149 is: 385,240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,242.50 : 180,149 = 180,149 : x
  2. Step 2: Convert to fraction form
    84,242.50/180,149 = 180,149/x
  3. Step 3: Cross multiply
    84,242.50x = 180,149 × 180,149
  4. Step 4: Simplify right side
    84,242.50x = 32,453,662,201
  5. Step 5: Solve for x
    x = 32,453,662,201/84,242.50
  6. Step 6: Final answer
    x = 385,240.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.