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Finding the Third Proportional to 133,820 and 183,496

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Solution

The third proportional to 133,820 and 183,496 is: 251,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,820 : 183,496 = 183,496 : x
  2. Step 2: Convert to fraction form
    133,820/183,496 = 183,496/x
  3. Step 3: Cross multiply
    133,820x = 183,496 × 183,496
  4. Step 4: Simplify right side
    133,820x = 33,670,782,016
  5. Step 5: Solve for x
    x = 33,670,782,016/133,820
  6. Step 6: Final answer
    x = 251,612.48

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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.