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Finding the Third Proportional to 112,938.19 and 150,563.81

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Solution

The third proportional to 112,938.19 and 150,563.81 is: 200,724.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,938.19 : 150,563.81 = 150,563.81 : x
  2. Step 2: Convert to fraction form
    112,938.19/150,563.81 = 150,563.81/x
  3. Step 3: Cross multiply
    112,938.19x = 150,563.81 × 150,563.81
  4. Step 4: Simplify right side
    112,938.19x = 22,669,461,634.54
  5. Step 5: Solve for x
    x = 22,669,461,634.54/112,938.19
  6. Step 6: Final answer
    x = 200,724.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.