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Finding the Third Proportional to 101,361.38 and 146,007.56

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Solution

The third proportional to 101,361.38 and 146,007.56 is: 210,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,361.38 : 146,007.56 = 146,007.56 : x
  2. Step 2: Convert to fraction form
    101,361.38/146,007.56 = 146,007.56/x
  3. Step 3: Cross multiply
    101,361.38x = 146,007.56 × 146,007.56
  4. Step 4: Simplify right side
    101,361.38x = 21,318,208,307.19
  5. Step 5: Solve for x
    x = 21,318,208,307.19/101,361.38
  6. Step 6: Final answer
    x = 210,318.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.