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Finding the Third Proportional to 86,773.50 and 175,961.25

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Solution

The third proportional to 86,773.50 and 175,961.25 is: 356,818.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,773.50 : 175,961.25 = 175,961.25 : x
  2. Step 2: Convert to fraction form
    86,773.50/175,961.25 = 175,961.25/x
  3. Step 3: Cross multiply
    86,773.50x = 175,961.25 × 175,961.25
  4. Step 4: Simplify right side
    86,773.50x = 30,962,361,501.56
  5. Step 5: Solve for x
    x = 30,962,361,501.56/86,773.50
  6. Step 6: Final answer
    x = 356,818.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.