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Finding the Third Proportional to 76,202.75 and 113,200.19

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Solution

The third proportional to 76,202.75 and 113,200.19 is: 168,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,202.75 : 113,200.19 = 113,200.19 : x
  2. Step 2: Convert to fraction form
    76,202.75/113,200.19 = 113,200.19/x
  3. Step 3: Cross multiply
    76,202.75x = 113,200.19 × 113,200.19
  4. Step 4: Simplify right side
    76,202.75x = 12,814,282,450.04
  5. Step 5: Solve for x
    x = 12,814,282,450.04/76,202.75
  6. Step 6: Final answer
    x = 168,160.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.