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Finding the Third Proportional to 37,442 and 81,445

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Solution

The third proportional to 37,442 and 81,445 is: 177,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,442 : 81,445 = 81,445 : x
  2. Step 2: Convert to fraction form
    37,442/81,445 = 81,445/x
  3. Step 3: Cross multiply
    37,442x = 81,445 × 81,445
  4. Step 4: Simplify right side
    37,442x = 6,633,288,025
  5. Step 5: Solve for x
    x = 6,633,288,025/37,442
  6. Step 6: Final answer
    x = 177,161.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.