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Finding the Third Proportional to 56,054 and 117,301

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Solution

The third proportional to 56,054 and 117,301 is: 245,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,054 : 117,301 = 117,301 : x
  2. Step 2: Convert to fraction form
    56,054/117,301 = 117,301/x
  3. Step 3: Cross multiply
    56,054x = 117,301 × 117,301
  4. Step 4: Simplify right side
    56,054x = 13,759,524,601
  5. Step 5: Solve for x
    x = 13,759,524,601/56,054
  6. Step 6: Final answer
    x = 245,469.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.