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Finding the Third Proportional to 56,916 and 119,823

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Solution

The third proportional to 56,916 and 119,823 is: 252,258.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,916 : 119,823 = 119,823 : x
  2. Step 2: Convert to fraction form
    56,916/119,823 = 119,823/x
  3. Step 3: Cross multiply
    56,916x = 119,823 × 119,823
  4. Step 4: Simplify right side
    56,916x = 14,357,551,329
  5. Step 5: Solve for x
    x = 14,357,551,329/56,916
  6. Step 6: Final answer
    x = 252,258.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.