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Finding the Third Proportional to 74,847.94 and 162,153.56

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Solution

The third proportional to 74,847.94 and 162,153.56 is: 351,295.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,847.94 : 162,153.56 = 162,153.56 : x
  2. Step 2: Convert to fraction form
    74,847.94/162,153.56 = 162,153.56/x
  3. Step 3: Cross multiply
    74,847.94x = 162,153.56 × 162,153.56
  4. Step 4: Simplify right side
    74,847.94x = 26,293,777,831.44
  5. Step 5: Solve for x
    x = 26,293,777,831.44/74,847.94
  6. Step 6: Final answer
    x = 351,295.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.