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Finding the Third Proportional to 56,370.38 and 117,405

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Solution

The third proportional to 56,370.38 and 117,405 is: 244,524.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,370.38 : 117,405 = 117,405 : x
  2. Step 2: Convert to fraction form
    56,370.38/117,405 = 117,405/x
  3. Step 3: Cross multiply
    56,370.38x = 117,405 × 117,405
  4. Step 4: Simplify right side
    56,370.38x = 13,783,934,025
  5. Step 5: Solve for x
    x = 13,783,934,025/56,370.38
  6. Step 6: Final answer
    x = 244,524.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.