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Finding the Third Proportional to 119,956 and 179,958

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Solution

The third proportional to 119,956 and 179,958 is: 269,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,956 : 179,958 = 179,958 : x
  2. Step 2: Convert to fraction form
    119,956/179,958 = 179,958/x
  3. Step 3: Cross multiply
    119,956x = 179,958 × 179,958
  4. Step 4: Simplify right side
    119,956x = 32,384,881,764
  5. Step 5: Solve for x
    x = 32,384,881,764/119,956
  6. Step 6: Final answer
    x = 269,973.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.