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Finding the Third Proportional to 106,976.95 and 165,557.04

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Solution

The third proportional to 106,976.95 and 165,557.04 is: 256,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,976.95 : 165,557.04 = 165,557.04 : x
  2. Step 2: Convert to fraction form
    106,976.95/165,557.04 = 165,557.04/x
  3. Step 3: Cross multiply
    106,976.95x = 165,557.04 × 165,557.04
  4. Step 4: Simplify right side
    106,976.95x = 27,409,133,183.14
  5. Step 5: Solve for x
    x = 27,409,133,183.14/106,976.95
  6. Step 6: Final answer
    x = 256,215.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.