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Finding the Third Proportional to 45,132 and 104,028

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Solution

The third proportional to 45,132 and 104,028 is: 239,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,132 : 104,028 = 104,028 : x
  2. Step 2: Convert to fraction form
    45,132/104,028 = 104,028/x
  3. Step 3: Cross multiply
    45,132x = 104,028 × 104,028
  4. Step 4: Simplify right side
    45,132x = 10,821,824,784
  5. Step 5: Solve for x
    x = 10,821,824,784/45,132
  6. Step 6: Final answer
    x = 239,781.64

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.