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Finding the Third Proportional to 88,099 and 134,214

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Solution

The third proportional to 88,099 and 134,214 is: 204,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,099 : 134,214 = 134,214 : x
  2. Step 2: Convert to fraction form
    88,099/134,214 = 134,214/x
  3. Step 3: Cross multiply
    88,099x = 134,214 × 134,214
  4. Step 4: Simplify right side
    88,099x = 18,013,397,796
  5. Step 5: Solve for x
    x = 18,013,397,796/88,099
  6. Step 6: Final answer
    x = 204,467.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.