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Finding the Third Proportional to 56,463 and 133,764

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Solution

The third proportional to 56,463 and 133,764 is: 316,894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,463 : 133,764 = 133,764 : x
  2. Step 2: Convert to fraction form
    56,463/133,764 = 133,764/x
  3. Step 3: Cross multiply
    56,463x = 133,764 × 133,764
  4. Step 4: Simplify right side
    56,463x = 17,892,807,696
  5. Step 5: Solve for x
    x = 17,892,807,696/56,463
  6. Step 6: Final answer
    x = 316,894.39

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.