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Finding the Third Proportional to 57,313.88 and 125,972.75

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Solution

The third proportional to 57,313.88 and 125,972.75 is: 276,881.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,313.88 : 125,972.75 = 125,972.75 : x
  2. Step 2: Convert to fraction form
    57,313.88/125,972.75 = 125,972.75/x
  3. Step 3: Cross multiply
    57,313.88x = 125,972.75 × 125,972.75
  4. Step 4: Simplify right side
    57,313.88x = 15,869,133,742.56
  5. Step 5: Solve for x
    x = 15,869,133,742.56/57,313.88
  6. Step 6: Final answer
    x = 276,881.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.