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Finding the Third Proportional to 88,236 and 133,158

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Solution

The third proportional to 88,236 and 133,158 is: 200,950.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,236 : 133,158 = 133,158 : x
  2. Step 2: Convert to fraction form
    88,236/133,158 = 133,158/x
  3. Step 3: Cross multiply
    88,236x = 133,158 × 133,158
  4. Step 4: Simplify right side
    88,236x = 17,731,052,964
  5. Step 5: Solve for x
    x = 17,731,052,964/88,236
  6. Step 6: Final answer
    x = 200,950.33

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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.