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Finding the Third Proportional to 133,084 and 191,302

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Solution

The third proportional to 133,084 and 191,302 is: 274,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,084 : 191,302 = 191,302 : x
  2. Step 2: Convert to fraction form
    133,084/191,302 = 191,302/x
  3. Step 3: Cross multiply
    133,084x = 191,302 × 191,302
  4. Step 4: Simplify right side
    133,084x = 36,596,455,204
  5. Step 5: Solve for x
    x = 36,596,455,204/133,084
  6. Step 6: Final answer
    x = 274,987.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.