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Finding the Third Proportional to 59,956 and 129,517

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Solution

The third proportional to 59,956 and 129,517 is: 279,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,956 : 129,517 = 129,517 : x
  2. Step 2: Convert to fraction form
    59,956/129,517 = 129,517/x
  3. Step 3: Cross multiply
    59,956x = 129,517 × 129,517
  4. Step 4: Simplify right side
    59,956x = 16,774,653,289
  5. Step 5: Solve for x
    x = 16,774,653,289/59,956
  6. Step 6: Final answer
    x = 279,782.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.