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Finding the Third Proportional to 114,201 and 167,568.75

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Solution

The third proportional to 114,201 and 167,568.75 is: 245,876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,201 : 167,568.75 = 167,568.75 : x
  2. Step 2: Convert to fraction form
    114,201/167,568.75 = 167,568.75/x
  3. Step 3: Cross multiply
    114,201x = 167,568.75 × 167,568.75
  4. Step 4: Simplify right side
    114,201x = 28,079,285,976.56
  5. Step 5: Solve for x
    x = 28,079,285,976.56/114,201
  6. Step 6: Final answer
    x = 245,876.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.