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Finding the Third Proportional to 27,453 and 59,181

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Solution

The third proportional to 27,453 and 59,181 is: 127,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,453 : 59,181 = 59,181 : x
  2. Step 2: Convert to fraction form
    27,453/59,181 = 59,181/x
  3. Step 3: Cross multiply
    27,453x = 59,181 × 59,181
  4. Step 4: Simplify right side
    27,453x = 3,502,390,761
  5. Step 5: Solve for x
    x = 3,502,390,761/27,453
  6. Step 6: Final answer
    x = 127,577.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.