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Finding the Third Proportional to 119,578.50 and 177,059

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Solution

The third proportional to 119,578.50 and 177,059 is: 262,169.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,578.50 : 177,059 = 177,059 : x
  2. Step 2: Convert to fraction form
    119,578.50/177,059 = 177,059/x
  3. Step 3: Cross multiply
    119,578.50x = 177,059 × 177,059
  4. Step 4: Simplify right side
    119,578.50x = 31,349,889,481
  5. Step 5: Solve for x
    x = 31,349,889,481/119,578.50
  6. Step 6: Final answer
    x = 262,169.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.