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Finding the Third Proportional to 56,877 and 122,475.75

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Solution

The third proportional to 56,877 and 122,475.75 is: 263,732.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,877 : 122,475.75 = 122,475.75 : x
  2. Step 2: Convert to fraction form
    56,877/122,475.75 = 122,475.75/x
  3. Step 3: Cross multiply
    56,877x = 122,475.75 × 122,475.75
  4. Step 4: Simplify right side
    56,877x = 15,000,309,338.06
  5. Step 5: Solve for x
    x = 15,000,309,338.06/56,877
  6. Step 6: Final answer
    x = 263,732.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.