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Finding the Third Proportional to 75,618.56 and 165,975.75

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Solution

The third proportional to 75,618.56 and 165,975.75 is: 364,301.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,618.56 : 165,975.75 = 165,975.75 : x
  2. Step 2: Convert to fraction form
    75,618.56/165,975.75 = 165,975.75/x
  3. Step 3: Cross multiply
    75,618.56x = 165,975.75 × 165,975.75
  4. Step 4: Simplify right side
    75,618.56x = 27,547,949,588.06
  5. Step 5: Solve for x
    x = 27,547,949,588.06/75,618.56
  6. Step 6: Final answer
    x = 364,301.42

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