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Finding the Third Proportional to 56,768 and 133,817

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Solution

The third proportional to 56,768 and 133,817 is: 315,441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,768 : 133,817 = 133,817 : x
  2. Step 2: Convert to fraction form
    56,768/133,817 = 133,817/x
  3. Step 3: Cross multiply
    56,768x = 133,817 × 133,817
  4. Step 4: Simplify right side
    56,768x = 17,906,989,489
  5. Step 5: Solve for x
    x = 17,906,989,489/56,768
  6. Step 6: Final answer
    x = 315,441.61

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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.