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Finding the Third Proportional to 132,027.94 and 285,099

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Solution

The third proportional to 132,027.94 and 285,099 is: 615,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,027.94 : 285,099 = 285,099 : x
  2. Step 2: Convert to fraction form
    132,027.94/285,099 = 285,099/x
  3. Step 3: Cross multiply
    132,027.94x = 285,099 × 285,099
  4. Step 4: Simplify right side
    132,027.94x = 81,281,439,801
  5. Step 5: Solve for x
    x = 81,281,439,801/132,027.94
  6. Step 6: Final answer
    x = 615,638.18

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Why These Related Problems?

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