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Finding the Third Proportional to 37,186 and 81,752

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Solution

The third proportional to 37,186 and 81,752 is: 179,728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,186 : 81,752 = 81,752 : x
  2. Step 2: Convert to fraction form
    37,186/81,752 = 81,752/x
  3. Step 3: Cross multiply
    37,186x = 81,752 × 81,752
  4. Step 4: Simplify right side
    37,186x = 6,683,389,504
  5. Step 5: Solve for x
    x = 6,683,389,504/37,186
  6. Step 6: Final answer
    x = 179,728.65

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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.