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Finding the Third Proportional to 115,906 and 179,373

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Solution

The third proportional to 115,906 and 179,373 is: 277,592.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,906 : 179,373 = 179,373 : x
  2. Step 2: Convert to fraction form
    115,906/179,373 = 179,373/x
  3. Step 3: Cross multiply
    115,906x = 179,373 × 179,373
  4. Step 4: Simplify right side
    115,906x = 32,174,673,129
  5. Step 5: Solve for x
    x = 32,174,673,129/115,906
  6. Step 6: Final answer
    x = 277,592.82

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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.