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Finding the Third Proportional to 32,134.50 and 68,764.50

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Solution

The third proportional to 32,134.50 and 68,764.50 is: 147,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,134.50 : 68,764.50 = 68,764.50 : x
  2. Step 2: Convert to fraction form
    32,134.50/68,764.50 = 68,764.50/x
  3. Step 3: Cross multiply
    32,134.50x = 68,764.50 × 68,764.50
  4. Step 4: Simplify right side
    32,134.50x = 4,728,556,460.25
  5. Step 5: Solve for x
    x = 4,728,556,460.25/32,134.50
  6. Step 6: Final answer
    x = 147,148.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.