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Finding the Third Proportional to 27,720 and 60,128

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Solution

The third proportional to 27,720 and 60,128 is: 130,424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720 : 60,128 = 60,128 : x
  2. Step 2: Convert to fraction form
    27,720/60,128 = 60,128/x
  3. Step 3: Cross multiply
    27,720x = 60,128 × 60,128
  4. Step 4: Simplify right side
    27,720x = 3,615,376,384
  5. Step 5: Solve for x
    x = 3,615,376,384/27,720
  6. Step 6: Final answer
    x = 130,424.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.