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Finding the Third Proportional to 133,771.88 and 183,434.81

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Solution

The third proportional to 133,771.88 and 183,434.81 is: 251,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,771.88 : 183,434.81 = 183,434.81 : x
  2. Step 2: Convert to fraction form
    133,771.88/183,434.81 = 183,434.81/x
  3. Step 3: Cross multiply
    133,771.88x = 183,434.81 × 183,434.81
  4. Step 4: Simplify right side
    133,771.88x = 33,648,330,436.91
  5. Step 5: Solve for x
    x = 33,648,330,436.91/133,771.88
  6. Step 6: Final answer
    x = 251,535.16

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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.