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Finding the Third Proportional to 27,567 and 60,129

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Solution

The third proportional to 27,567 and 60,129 is: 131,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,567 : 60,129 = 60,129 : x
  2. Step 2: Convert to fraction form
    27,567/60,129 = 60,129/x
  3. Step 3: Cross multiply
    27,567x = 60,129 × 60,129
  4. Step 4: Simplify right side
    27,567x = 3,615,496,641
  5. Step 5: Solve for x
    x = 3,615,496,641/27,567
  6. Step 6: Final answer
    x = 131,153.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.