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Finding the Third Proportional to 37,054 and 81,524

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Solution

The third proportional to 37,054 and 81,524 is: 179,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,054 : 81,524 = 81,524 : x
  2. Step 2: Convert to fraction form
    37,054/81,524 = 81,524/x
  3. Step 3: Cross multiply
    37,054x = 81,524 × 81,524
  4. Step 4: Simplify right side
    37,054x = 6,646,162,576
  5. Step 5: Solve for x
    x = 6,646,162,576/37,054
  6. Step 6: Final answer
    x = 179,364.24

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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.