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Finding the Third Proportional to 88,353 and 132,235

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Solution

The third proportional to 88,353 and 132,235 is: 197,911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,353 : 132,235 = 132,235 : x
  2. Step 2: Convert to fraction form
    88,353/132,235 = 132,235/x
  3. Step 3: Cross multiply
    88,353x = 132,235 × 132,235
  4. Step 4: Simplify right side
    88,353x = 17,486,095,225
  5. Step 5: Solve for x
    x = 17,486,095,225/88,353
  6. Step 6: Final answer
    x = 197,911.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.