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Finding the Third Proportional to 132,929.72 and 204,321.94

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Solution

The third proportional to 132,929.72 and 204,321.94 is: 314,056.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,929.72 : 204,321.94 = 204,321.94 : x
  2. Step 2: Convert to fraction form
    132,929.72/204,321.94 = 204,321.94/x
  3. Step 3: Cross multiply
    132,929.72x = 204,321.94 × 204,321.94
  4. Step 4: Simplify right side
    132,929.72x = 41,747,454,143.75
  5. Step 5: Solve for x
    x = 41,747,454,143.75/132,929.72
  6. Step 6: Final answer
    x = 314,056.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.