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Finding the Third Proportional to 56,845 and 119,582

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Solution

The third proportional to 56,845 and 119,582 is: 251,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,845 : 119,582 = 119,582 : x
  2. Step 2: Convert to fraction form
    56,845/119,582 = 119,582/x
  3. Step 3: Cross multiply
    56,845x = 119,582 × 119,582
  4. Step 4: Simplify right side
    56,845x = 14,299,854,724
  5. Step 5: Solve for x
    x = 14,299,854,724/56,845
  6. Step 6: Final answer
    x = 251,558.71

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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.