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Finding the Third Proportional to 115,175 and 174,373

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Solution

The third proportional to 115,175 and 174,373 is: 263,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,175 : 174,373 = 174,373 : x
  2. Step 2: Convert to fraction form
    115,175/174,373 = 174,373/x
  3. Step 3: Cross multiply
    115,175x = 174,373 × 174,373
  4. Step 4: Simplify right side
    115,175x = 30,405,943,129
  5. Step 5: Solve for x
    x = 30,405,943,129/115,175
  6. Step 6: Final answer
    x = 263,997.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.