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Finding the Third Proportional to 57,256.38 and 113,075.75

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Solution

The third proportional to 57,256.38 and 113,075.75 is: 223,313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,256.38 : 113,075.75 = 113,075.75 : x
  2. Step 2: Convert to fraction form
    57,256.38/113,075.75 = 113,075.75/x
  3. Step 3: Cross multiply
    57,256.38x = 113,075.75 × 113,075.75
  4. Step 4: Simplify right side
    57,256.38x = 12,786,125,238.06
  5. Step 5: Solve for x
    x = 12,786,125,238.06/57,256.38
  6. Step 6: Final answer
    x = 223,313.57

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.