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Finding the Third Proportional to 132,099 and 285,249

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Solution

The third proportional to 132,099 and 285,249 is: 615,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,099 : 285,249 = 285,249 : x
  2. Step 2: Convert to fraction form
    132,099/285,249 = 285,249/x
  3. Step 3: Cross multiply
    132,099x = 285,249 × 285,249
  4. Step 4: Simplify right side
    132,099x = 81,366,992,001
  5. Step 5: Solve for x
    x = 81,366,992,001/132,099
  6. Step 6: Final answer
    x = 615,954.64

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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.