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Finding the Third Proportional to 132,969.25 and 288,092

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Solution

The third proportional to 132,969.25 and 288,092 is: 624,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,969.25 : 288,092 = 288,092 : x
  2. Step 2: Convert to fraction form
    132,969.25/288,092 = 288,092/x
  3. Step 3: Cross multiply
    132,969.25x = 288,092 × 288,092
  4. Step 4: Simplify right side
    132,969.25x = 82,997,000,464
  5. Step 5: Solve for x
    x = 82,997,000,464/132,969.25
  6. Step 6: Final answer
    x = 624,181.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.