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Finding the Third Proportional to 58,487 and 126,694

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Solution

The third proportional to 58,487 and 126,694 is: 274,443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,487 : 126,694 = 126,694 : x
  2. Step 2: Convert to fraction form
    58,487/126,694 = 126,694/x
  3. Step 3: Cross multiply
    58,487x = 126,694 × 126,694
  4. Step 4: Simplify right side
    58,487x = 16,051,369,636
  5. Step 5: Solve for x
    x = 16,051,369,636/58,487
  6. Step 6: Final answer
    x = 274,443.37

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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.