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Finding the Third Proportional to 119,980.13 and 179,786.25

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Solution

The third proportional to 119,980.13 and 179,786.25 is: 269,403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,980.13 : 179,786.25 = 179,786.25 : x
  2. Step 2: Convert to fraction form
    119,980.13/179,786.25 = 179,786.25/x
  3. Step 3: Cross multiply
    119,980.13x = 179,786.25 × 179,786.25
  4. Step 4: Simplify right side
    119,980.13x = 32,323,095,689.06
  5. Step 5: Solve for x
    x = 32,323,095,689.06/119,980.13
  6. Step 6: Final answer
    x = 269,403.75

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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.