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Finding the Third Proportional to 133,950.09 and 204,065.53

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Solution

The third proportional to 133,950.09 and 204,065.53 is: 310,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,950.09 : 204,065.53 = 204,065.53 : x
  2. Step 2: Convert to fraction form
    133,950.09/204,065.53 = 204,065.53/x
  3. Step 3: Cross multiply
    133,950.09x = 204,065.53 × 204,065.53
  4. Step 4: Simplify right side
    133,950.09x = 41,642,741,044.34
  5. Step 5: Solve for x
    x = 41,642,741,044.34/133,950.09
  6. Step 6: Final answer
    x = 310,882.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.