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Finding the Third Proportional to 134,040 and 279,105

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Solution

The third proportional to 134,040 and 279,105 is: 581,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,040 : 279,105 = 279,105 : x
  2. Step 2: Convert to fraction form
    134,040/279,105 = 279,105/x
  3. Step 3: Cross multiply
    134,040x = 279,105 × 279,105
  4. Step 4: Simplify right side
    134,040x = 77,899,601,025
  5. Step 5: Solve for x
    x = 77,899,601,025/134,040
  6. Step 6: Final answer
    x = 581,166.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.