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Finding the Third Proportional to 115,713 and 173,898

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Solution

The third proportional to 115,713 and 173,898 is: 261,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,713 : 173,898 = 173,898 : x
  2. Step 2: Convert to fraction form
    115,713/173,898 = 173,898/x
  3. Step 3: Cross multiply
    115,713x = 173,898 × 173,898
  4. Step 4: Simplify right side
    115,713x = 30,240,514,404
  5. Step 5: Solve for x
    x = 30,240,514,404/115,713
  6. Step 6: Final answer
    x = 261,340.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.