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Finding the Third Proportional to 56,784.38 and 119,454.75

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Solution

The third proportional to 56,784.38 and 119,454.75 is: 251,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,784.38 : 119,454.75 = 119,454.75 : x
  2. Step 2: Convert to fraction form
    56,784.38/119,454.75 = 119,454.75/x
  3. Step 3: Cross multiply
    56,784.38x = 119,454.75 × 119,454.75
  4. Step 4: Simplify right side
    56,784.38x = 14,269,437,297.56
  5. Step 5: Solve for x
    x = 14,269,437,297.56/56,784.38
  6. Step 6: Final answer
    x = 251,291.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.