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Finding the Third Proportional to 52,500 and 115,206.75

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Solution

The third proportional to 52,500 and 115,206.75 is: 252,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,500 : 115,206.75 = 115,206.75 : x
  2. Step 2: Convert to fraction form
    52,500/115,206.75 = 115,206.75/x
  3. Step 3: Cross multiply
    52,500x = 115,206.75 × 115,206.75
  4. Step 4: Simplify right side
    52,500x = 13,272,595,245.56
  5. Step 5: Solve for x
    x = 13,272,595,245.56/52,500
  6. Step 6: Final answer
    x = 252,811.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.