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Finding the Third Proportional to 58,206 and 125,686

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Solution

The third proportional to 58,206 and 125,686 is: 271,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,206 : 125,686 = 125,686 : x
  2. Step 2: Convert to fraction form
    58,206/125,686 = 125,686/x
  3. Step 3: Cross multiply
    58,206x = 125,686 × 125,686
  4. Step 4: Simplify right side
    58,206x = 15,796,970,596
  5. Step 5: Solve for x
    x = 15,796,970,596/58,206
  6. Step 6: Final answer
    x = 271,397.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.