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Finding the Third Proportional to 32,093.25 and 70,236.75

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Solution

The third proportional to 32,093.25 and 70,236.75 is: 153,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,093.25 : 70,236.75 = 70,236.75 : x
  2. Step 2: Convert to fraction form
    32,093.25/70,236.75 = 70,236.75/x
  3. Step 3: Cross multiply
    32,093.25x = 70,236.75 × 70,236.75
  4. Step 4: Simplify right side
    32,093.25x = 4,933,201,050.56
  5. Step 5: Solve for x
    x = 4,933,201,050.56/32,093.25
  6. Step 6: Final answer
    x = 153,714.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.