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Finding the Third Proportional to 133,769 and 183,429

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Solution

The third proportional to 133,769 and 183,429 is: 251,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,769 : 183,429 = 183,429 : x
  2. Step 2: Convert to fraction form
    133,769/183,429 = 183,429/x
  3. Step 3: Cross multiply
    133,769x = 183,429 × 183,429
  4. Step 4: Simplify right side
    133,769x = 33,646,198,041
  5. Step 5: Solve for x
    x = 33,646,198,041/133,769
  6. Step 6: Final answer
    x = 251,524.63

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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.