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Finding the Third Proportional to 57,133.50 and 133,518.75

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Solution

The third proportional to 57,133.50 and 133,518.75 is: 312,028.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,133.50 : 133,518.75 = 133,518.75 : x
  2. Step 2: Convert to fraction form
    57,133.50/133,518.75 = 133,518.75/x
  3. Step 3: Cross multiply
    57,133.50x = 133,518.75 × 133,518.75
  4. Step 4: Simplify right side
    57,133.50x = 17,827,256,601.56
  5. Step 5: Solve for x
    x = 17,827,256,601.56/57,133.50
  6. Step 6: Final answer
    x = 312,028.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.