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Finding the Third Proportional to 75,426.75 and 165,255.75

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Solution

The third proportional to 75,426.75 and 165,255.75 is: 362,066.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,426.75 : 165,255.75 = 165,255.75 : x
  2. Step 2: Convert to fraction form
    75,426.75/165,255.75 = 165,255.75/x
  3. Step 3: Cross multiply
    75,426.75x = 165,255.75 × 165,255.75
  4. Step 4: Simplify right side
    75,426.75x = 27,309,462,908.06
  5. Step 5: Solve for x
    x = 27,309,462,908.06/75,426.75
  6. Step 6: Final answer
    x = 362,066.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.