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Finding the Third Proportional to 88,247 and 133,184

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Solution

The third proportional to 88,247 and 133,184 is: 201,003.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,247 : 133,184 = 133,184 : x
  2. Step 2: Convert to fraction form
    88,247/133,184 = 133,184/x
  3. Step 3: Cross multiply
    88,247x = 133,184 × 133,184
  4. Step 4: Simplify right side
    88,247x = 17,737,977,856
  5. Step 5: Solve for x
    x = 17,737,977,856/88,247
  6. Step 6: Final answer
    x = 201,003.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.