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Finding the Third Proportional to 27,168 and 58,304

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Solution

The third proportional to 27,168 and 58,304 is: 125,123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,168 : 58,304 = 58,304 : x
  2. Step 2: Convert to fraction form
    27,168/58,304 = 58,304/x
  3. Step 3: Cross multiply
    27,168x = 58,304 × 58,304
  4. Step 4: Simplify right side
    27,168x = 3,399,356,416
  5. Step 5: Solve for x
    x = 3,399,356,416/27,168
  6. Step 6: Final answer
    x = 125,123.54

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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.