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Finding the Third Proportional to 37,805 and 83,120

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Solution

The third proportional to 37,805 and 83,120 is: 182,751.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,805 : 83,120 = 83,120 : x
  2. Step 2: Convert to fraction form
    37,805/83,120 = 83,120/x
  3. Step 3: Cross multiply
    37,805x = 83,120 × 83,120
  4. Step 4: Simplify right side
    37,805x = 6,908,934,400
  5. Step 5: Solve for x
    x = 6,908,934,400/37,805
  6. Step 6: Final answer
    x = 182,751.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.