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Finding the Third Proportional to 56,446 and 119,223

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Solution

The third proportional to 56,446 and 119,223 is: 251,818.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,446 : 119,223 = 119,223 : x
  2. Step 2: Convert to fraction form
    56,446/119,223 = 119,223/x
  3. Step 3: Cross multiply
    56,446x = 119,223 × 119,223
  4. Step 4: Simplify right side
    56,446x = 14,214,123,729
  5. Step 5: Solve for x
    x = 14,214,123,729/56,446
  6. Step 6: Final answer
    x = 251,818.09

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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.