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Finding the Third Proportional to 26,151 and 57,270

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Solution

The third proportional to 26,151 and 57,270 is: 125,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,151 : 57,270 = 57,270 : x
  2. Step 2: Convert to fraction form
    26,151/57,270 = 57,270/x
  3. Step 3: Cross multiply
    26,151x = 57,270 × 57,270
  4. Step 4: Simplify right side
    26,151x = 3,279,852,900
  5. Step 5: Solve for x
    x = 3,279,852,900/26,151
  6. Step 6: Final answer
    x = 125,419.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.