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Finding the Third Proportional to 57,246.75 and 116,106.75

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Solution

The third proportional to 57,246.75 and 116,106.75 is: 235,485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,246.75 : 116,106.75 = 116,106.75 : x
  2. Step 2: Convert to fraction form
    57,246.75/116,106.75 = 116,106.75/x
  3. Step 3: Cross multiply
    57,246.75x = 116,106.75 × 116,106.75
  4. Step 4: Simplify right side
    57,246.75x = 13,480,777,395.56
  5. Step 5: Solve for x
    x = 13,480,777,395.56/57,246.75
  6. Step 6: Final answer
    x = 235,485.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.