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Finding the Third Proportional to 133,813 and 183,487

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Solution

The third proportional to 133,813 and 183,487 is: 251,600.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,813 : 183,487 = 183,487 : x
  2. Step 2: Convert to fraction form
    133,813/183,487 = 183,487/x
  3. Step 3: Cross multiply
    133,813x = 183,487 × 183,487
  4. Step 4: Simplify right side
    133,813x = 33,667,479,169
  5. Step 5: Solve for x
    x = 33,667,479,169/133,813
  6. Step 6: Final answer
    x = 251,600.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.