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Finding the Third Proportional to 37,114 and 87,524

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Solution

The third proportional to 37,114 and 87,524 is: 206,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,114 : 87,524 = 87,524 : x
  2. Step 2: Convert to fraction form
    37,114/87,524 = 87,524/x
  3. Step 3: Cross multiply
    37,114x = 87,524 × 87,524
  4. Step 4: Simplify right side
    37,114x = 7,660,450,576
  5. Step 5: Solve for x
    x = 7,660,450,576/37,114
  6. Step 6: Final answer
    x = 206,403.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.