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Finding the Third Proportional to 80,122.50 and 130,224

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Solution

The third proportional to 80,122.50 and 130,224 is: 211,654.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,122.50 : 130,224 = 130,224 : x
  2. Step 2: Convert to fraction form
    80,122.50/130,224 = 130,224/x
  3. Step 3: Cross multiply
    80,122.50x = 130,224 × 130,224
  4. Step 4: Simplify right side
    80,122.50x = 16,958,290,176
  5. Step 5: Solve for x
    x = 16,958,290,176/80,122.50
  6. Step 6: Final answer
    x = 211,654.53

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.