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Finding the Third Proportional to 27,080 and 59,128

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Solution

The third proportional to 27,080 and 59,128 is: 129,103.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,080 : 59,128 = 59,128 : x
  2. Step 2: Convert to fraction form
    27,080/59,128 = 59,128/x
  3. Step 3: Cross multiply
    27,080x = 59,128 × 59,128
  4. Step 4: Simplify right side
    27,080x = 3,496,120,384
  5. Step 5: Solve for x
    x = 3,496,120,384/27,080
  6. Step 6: Final answer
    x = 129,103.41

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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.