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Finding the Third Proportional to 115,896 and 173,412

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Solution

The third proportional to 115,896 and 173,412 is: 259,471.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,896 : 173,412 = 173,412 : x
  2. Step 2: Convert to fraction form
    115,896/173,412 = 173,412/x
  3. Step 3: Cross multiply
    115,896x = 173,412 × 173,412
  4. Step 4: Simplify right side
    115,896x = 30,071,721,744
  5. Step 5: Solve for x
    x = 30,071,721,744/115,896
  6. Step 6: Final answer
    x = 259,471.61

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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.