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Finding the Third Proportional to 146,036 and 189,102

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Solution

The third proportional to 146,036 and 189,102 is: 244,868.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,036 : 189,102 = 189,102 : x
  2. Step 2: Convert to fraction form
    146,036/189,102 = 189,102/x
  3. Step 3: Cross multiply
    146,036x = 189,102 × 189,102
  4. Step 4: Simplify right side
    146,036x = 35,759,566,404
  5. Step 5: Solve for x
    x = 35,759,566,404/146,036
  6. Step 6: Final answer
    x = 244,868.16

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.