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Finding the Third Proportional to 56,771 and 133,824

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Solution

The third proportional to 56,771 and 133,824 is: 315,457.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,771 : 133,824 = 133,824 : x
  2. Step 2: Convert to fraction form
    56,771/133,824 = 133,824/x
  3. Step 3: Cross multiply
    56,771x = 133,824 × 133,824
  4. Step 4: Simplify right side
    56,771x = 17,908,862,976
  5. Step 5: Solve for x
    x = 17,908,862,976/56,771
  6. Step 6: Final answer
    x = 315,457.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.