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Finding the Third Proportional to 133,122 and 291,759

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Solution

The third proportional to 133,122 and 291,759 is: 639,438.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,122 : 291,759 = 291,759 : x
  2. Step 2: Convert to fraction form
    133,122/291,759 = 291,759/x
  3. Step 3: Cross multiply
    133,122x = 291,759 × 291,759
  4. Step 4: Simplify right side
    133,122x = 85,123,314,081
  5. Step 5: Solve for x
    x = 85,123,314,081/133,122
  6. Step 6: Final answer
    x = 639,438.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.