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Finding the Third Proportional to 27,194 and 58,132

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Solution

The third proportional to 27,194 and 58,132 is: 124,267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,194 : 58,132 = 58,132 : x
  2. Step 2: Convert to fraction form
    27,194/58,132 = 58,132/x
  3. Step 3: Cross multiply
    27,194x = 58,132 × 58,132
  4. Step 4: Simplify right side
    27,194x = 3,379,329,424
  5. Step 5: Solve for x
    x = 3,379,329,424/27,194
  6. Step 6: Final answer
    x = 124,267.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.