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Finding the Third Proportional to 56,785 and 119,455

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Solution

The third proportional to 56,785 and 119,455 is: 251,289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,785 : 119,455 = 119,455 : x
  2. Step 2: Convert to fraction form
    56,785/119,455 = 119,455/x
  3. Step 3: Cross multiply
    56,785x = 119,455 × 119,455
  4. Step 4: Simplify right side
    56,785x = 14,269,497,025
  5. Step 5: Solve for x
    x = 14,269,497,025/56,785
  6. Step 6: Final answer
    x = 251,289.90

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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.