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Finding the Third Proportional to 58,208 and 125,689

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Solution

The third proportional to 58,208 and 125,689 is: 271,401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,208 : 125,689 = 125,689 : x
  2. Step 2: Convert to fraction form
    58,208/125,689 = 125,689/x
  3. Step 3: Cross multiply
    58,208x = 125,689 × 125,689
  4. Step 4: Simplify right side
    58,208x = 15,797,724,721
  5. Step 5: Solve for x
    x = 15,797,724,721/58,208
  6. Step 6: Final answer
    x = 271,401.26

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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.