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Finding the Third Proportional to 105,201.50 and 162,972.75

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Solution

The third proportional to 105,201.50 and 162,972.75 is: 252,469.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,201.50 : 162,972.75 = 162,972.75 : x
  2. Step 2: Convert to fraction form
    105,201.50/162,972.75 = 162,972.75/x
  3. Step 3: Cross multiply
    105,201.50x = 162,972.75 × 162,972.75
  4. Step 4: Simplify right side
    105,201.50x = 26,560,117,242.56
  5. Step 5: Solve for x
    x = 26,560,117,242.56/105,201.50
  6. Step 6: Final answer
    x = 252,469.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.