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Finding the Third Proportional to 56,463.75 and 122,768.63

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Solution

The third proportional to 56,463.75 and 122,768.63 is: 266,934.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,463.75 : 122,768.63 = 122,768.63 : x
  2. Step 2: Convert to fraction form
    56,463.75/122,768.63 = 122,768.63/x
  3. Step 3: Cross multiply
    56,463.75x = 122,768.63 × 122,768.63
  4. Step 4: Simplify right side
    56,463.75x = 15,072,135,284.39
  5. Step 5: Solve for x
    x = 15,072,135,284.39/56,463.75
  6. Step 6: Final answer
    x = 266,934.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.