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Finding the Third Proportional to 75,474.75 and 162,772.13

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Solution

The third proportional to 75,474.75 and 162,772.13 is: 351,041.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,474.75 : 162,772.13 = 162,772.13 : x
  2. Step 2: Convert to fraction form
    75,474.75/162,772.13 = 162,772.13/x
  3. Step 3: Cross multiply
    75,474.75x = 162,772.13 × 162,772.13
  4. Step 4: Simplify right side
    75,474.75x = 26,494,764,677.02
  5. Step 5: Solve for x
    x = 26,494,764,677.02/75,474.75
  6. Step 6: Final answer
    x = 351,041.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.