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Finding the Third Proportional to 79,976.25 and 185,148

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Solution

The third proportional to 79,976.25 and 185,148 is: 428,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,976.25 : 185,148 = 185,148 : x
  2. Step 2: Convert to fraction form
    79,976.25/185,148 = 185,148/x
  3. Step 3: Cross multiply
    79,976.25x = 185,148 × 185,148
  4. Step 4: Simplify right side
    79,976.25x = 34,279,781,904
  5. Step 5: Solve for x
    x = 34,279,781,904/79,976.25
  6. Step 6: Final answer
    x = 428,624.52

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.