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Finding the Third Proportional to 75,171 and 115,996.50

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Solution

The third proportional to 75,171 and 115,996.50 is: 178,994.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,171 : 115,996.50 = 115,996.50 : x
  2. Step 2: Convert to fraction form
    75,171/115,996.50 = 115,996.50/x
  3. Step 3: Cross multiply
    75,171x = 115,996.50 × 115,996.50
  4. Step 4: Simplify right side
    75,171x = 13,455,188,012.25
  5. Step 5: Solve for x
    x = 13,455,188,012.25/75,171
  6. Step 6: Final answer
    x = 178,994.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.