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Finding the Third Proportional to 56,179 and 120,134

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Solution

The third proportional to 56,179 and 120,134 is: 256,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,179 : 120,134 = 120,134 : x
  2. Step 2: Convert to fraction form
    56,179/120,134 = 120,134/x
  3. Step 3: Cross multiply
    56,179x = 120,134 × 120,134
  4. Step 4: Simplify right side
    56,179x = 14,432,177,956
  5. Step 5: Solve for x
    x = 14,432,177,956/56,179
  6. Step 6: Final answer
    x = 256,896.31

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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.