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Finding the Third Proportional to 27,178 and 59,337

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Solution

The third proportional to 27,178 and 59,337 is: 129,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178 : 59,337 = 59,337 : x
  2. Step 2: Convert to fraction form
    27,178/59,337 = 59,337/x
  3. Step 3: Cross multiply
    27,178x = 59,337 × 59,337
  4. Step 4: Simplify right side
    27,178x = 3,520,879,569
  5. Step 5: Solve for x
    x = 3,520,879,569/27,178
  6. Step 6: Final answer
    x = 129,548.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.