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Finding the Third Proportional to 133,012.13 and 275,491.13

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Solution

The third proportional to 133,012.13 and 275,491.13 is: 570,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,012.13 : 275,491.13 = 275,491.13 : x
  2. Step 2: Convert to fraction form
    133,012.13/275,491.13 = 275,491.13/x
  3. Step 3: Cross multiply
    133,012.13x = 275,491.13 × 275,491.13
  4. Step 4: Simplify right side
    133,012.13x = 75,895,359,953.77
  5. Step 5: Solve for x
    x = 75,895,359,953.77/133,012.13
  6. Step 6: Final answer
    x = 570,589.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.