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Finding the Third Proportional to 58,183 and 125,272

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Solution

The third proportional to 58,183 and 125,272 is: 269,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,183 : 125,272 = 125,272 : x
  2. Step 2: Convert to fraction form
    58,183/125,272 = 125,272/x
  3. Step 3: Cross multiply
    58,183x = 125,272 × 125,272
  4. Step 4: Simplify right side
    58,183x = 15,693,073,984
  5. Step 5: Solve for x
    x = 15,693,073,984/58,183
  6. Step 6: Final answer
    x = 269,719.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.