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Finding the Third Proportional to 32,692 and 69,200

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Solution

The third proportional to 32,692 and 69,200 is: 146,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,692 : 69,200 = 69,200 : x
  2. Step 2: Convert to fraction form
    32,692/69,200 = 69,200/x
  3. Step 3: Cross multiply
    32,692x = 69,200 × 69,200
  4. Step 4: Simplify right side
    32,692x = 4,788,640,000
  5. Step 5: Solve for x
    x = 4,788,640,000/32,692
  6. Step 6: Final answer
    x = 146,477.43

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.