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Finding the Third Proportional to 106,965.56 and 165,061.13

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Solution

The third proportional to 106,965.56 and 165,061.13 is: 254,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,965.56 : 165,061.13 = 165,061.13 : x
  2. Step 2: Convert to fraction form
    106,965.56/165,061.13 = 165,061.13/x
  3. Step 3: Cross multiply
    106,965.56x = 165,061.13 × 165,061.13
  4. Step 4: Simplify right side
    106,965.56x = 27,245,174,986.27
  5. Step 5: Solve for x
    x = 27,245,174,986.27/106,965.56
  6. Step 6: Final answer
    x = 254,709.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.