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Finding the Third Proportional to 32,104 and 69,283

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Solution

The third proportional to 32,104 and 69,283 is: 149,518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,104 : 69,283 = 69,283 : x
  2. Step 2: Convert to fraction form
    32,104/69,283 = 69,283/x
  3. Step 3: Cross multiply
    32,104x = 69,283 × 69,283
  4. Step 4: Simplify right side
    32,104x = 4,800,134,089
  5. Step 5: Solve for x
    x = 4,800,134,089/32,104
  6. Step 6: Final answer
    x = 149,518.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.