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Finding the Third Proportional to 56,544 and 120,864

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Solution

The third proportional to 56,544 and 120,864 is: 258,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,544 : 120,864 = 120,864 : x
  2. Step 2: Convert to fraction form
    56,544/120,864 = 120,864/x
  3. Step 3: Cross multiply
    56,544x = 120,864 × 120,864
  4. Step 4: Simplify right side
    56,544x = 14,608,106,496
  5. Step 5: Solve for x
    x = 14,608,106,496/56,544
  6. Step 6: Final answer
    x = 258,349.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.