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Finding the Third Proportional to 119,719.83 and 179,249.97

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Solution

The third proportional to 119,719.83 and 179,249.97 is: 268,381.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,719.83 : 179,249.97 = 179,249.97 : x
  2. Step 2: Convert to fraction form
    119,719.83/179,249.97 = 179,249.97/x
  3. Step 3: Cross multiply
    119,719.83x = 179,249.97 × 179,249.97
  4. Step 4: Simplify right side
    119,719.83x = 32,130,552,423.76
  5. Step 5: Solve for x
    x = 32,130,552,423.76/119,719.83
  6. Step 6: Final answer
    x = 268,381.21

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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.