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Finding the Third Proportional to 73,912.50 and 162,585.56

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Solution

The third proportional to 73,912.50 and 162,585.56 is: 357,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,912.50 : 162,585.56 = 162,585.56 : x
  2. Step 2: Convert to fraction form
    73,912.50/162,585.56 = 162,585.56/x
  3. Step 3: Cross multiply
    73,912.50x = 162,585.56 × 162,585.56
  4. Step 4: Simplify right side
    73,912.50x = 26,434,065,133.44
  5. Step 5: Solve for x
    x = 26,434,065,133.44/73,912.50
  6. Step 6: Final answer
    x = 357,639.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.