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Finding the Third Proportional to 115,896 and 179,357

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Solution

The third proportional to 115,896 and 179,357 is: 277,567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,896 : 179,357 = 179,357 : x
  2. Step 2: Convert to fraction form
    115,896/179,357 = 179,357/x
  3. Step 3: Cross multiply
    115,896x = 179,357 × 179,357
  4. Step 4: Simplify right side
    115,896x = 32,168,933,449
  5. Step 5: Solve for x
    x = 32,168,933,449/115,896
  6. Step 6: Final answer
    x = 277,567.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.