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Finding the Third Proportional to 72,309 and 150,086.25

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Solution

The third proportional to 72,309 and 150,086.25 is: 311,522.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,309 : 150,086.25 = 150,086.25 : x
  2. Step 2: Convert to fraction form
    72,309/150,086.25 = 150,086.25/x
  3. Step 3: Cross multiply
    72,309x = 150,086.25 × 150,086.25
  4. Step 4: Simplify right side
    72,309x = 22,525,882,439.06
  5. Step 5: Solve for x
    x = 22,525,882,439.06/72,309
  6. Step 6: Final answer
    x = 311,522.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.