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Finding the Third Proportional to 133,812.75 and 183,488.06

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Solution

The third proportional to 133,812.75 and 183,488.06 is: 251,604.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,812.75 : 183,488.06 = 183,488.06 : x
  2. Step 2: Convert to fraction form
    133,812.75/183,488.06 = 183,488.06/x
  3. Step 3: Cross multiply
    133,812.75x = 183,488.06 × 183,488.06
  4. Step 4: Simplify right side
    133,812.75x = 33,667,869,080.00
  5. Step 5: Solve for x
    x = 33,667,869,080.00/133,812.75
  6. Step 6: Final answer
    x = 251,604.34

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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.