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Finding the Third Proportional to 112,905.50 and 174,764.75

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Solution

The third proportional to 112,905.50 and 174,764.75 is: 270,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,905.50 : 174,764.75 = 174,764.75 : x
  2. Step 2: Convert to fraction form
    112,905.50/174,764.75 = 174,764.75/x
  3. Step 3: Cross multiply
    112,905.50x = 174,764.75 × 174,764.75
  4. Step 4: Simplify right side
    112,905.50x = 30,542,717,842.56
  5. Step 5: Solve for x
    x = 30,542,717,842.56/112,905.50
  6. Step 6: Final answer
    x = 270,515.77

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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.