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Finding the Third Proportional to 88,209 and 133,134

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Solution

The third proportional to 88,209 and 133,134 is: 200,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,209 : 133,134 = 133,134 : x
  2. Step 2: Convert to fraction form
    88,209/133,134 = 133,134/x
  3. Step 3: Cross multiply
    88,209x = 133,134 × 133,134
  4. Step 4: Simplify right side
    88,209x = 17,724,661,956
  5. Step 5: Solve for x
    x = 17,724,661,956/88,209
  6. Step 6: Final answer
    x = 200,939.38

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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.