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Finding the Third Proportional to 72,450 and 149,556

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Solution

The third proportional to 72,450 and 149,556 is: 308,723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,450 : 149,556 = 149,556 : x
  2. Step 2: Convert to fraction form
    72,450/149,556 = 149,556/x
  3. Step 3: Cross multiply
    72,450x = 149,556 × 149,556
  4. Step 4: Simplify right side
    72,450x = 22,366,997,136
  5. Step 5: Solve for x
    x = 22,366,997,136/72,450
  6. Step 6: Final answer
    x = 308,723.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.