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Finding the Third Proportional to 112,938.75 and 150,564.50

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Solution

The third proportional to 112,938.75 and 150,564.50 is: 200,725.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,938.75 : 150,564.50 = 150,564.50 : x
  2. Step 2: Convert to fraction form
    112,938.75/150,564.50 = 150,564.50/x
  3. Step 3: Cross multiply
    112,938.75x = 150,564.50 × 150,564.50
  4. Step 4: Simplify right side
    112,938.75x = 22,669,668,660.25
  5. Step 5: Solve for x
    x = 22,669,668,660.25/112,938.75
  6. Step 6: Final answer
    x = 200,725.34

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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.