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Finding the Third Proportional to 32,172.75 and 68,980.50

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Solution

The third proportional to 32,172.75 and 68,980.50 is: 147,898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,172.75 : 68,980.50 = 68,980.50 : x
  2. Step 2: Convert to fraction form
    32,172.75/68,980.50 = 68,980.50/x
  3. Step 3: Cross multiply
    32,172.75x = 68,980.50 × 68,980.50
  4. Step 4: Simplify right side
    32,172.75x = 4,758,309,380.25
  5. Step 5: Solve for x
    x = 4,758,309,380.25/32,172.75
  6. Step 6: Final answer
    x = 147,898.75

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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.