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Finding the Third Proportional to 57,783.38 and 125,043.75

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Solution

The third proportional to 57,783.38 and 125,043.75 is: 270,595.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,783.38 : 125,043.75 = 125,043.75 : x
  2. Step 2: Convert to fraction form
    57,783.38/125,043.75 = 125,043.75/x
  3. Step 3: Cross multiply
    57,783.38x = 125,043.75 × 125,043.75
  4. Step 4: Simplify right side
    57,783.38x = 15,635,939,414.06
  5. Step 5: Solve for x
    x = 15,635,939,414.06/57,783.38
  6. Step 6: Final answer
    x = 270,595.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.