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Finding the Third Proportional to 75,579.75 and 164,973.75

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Solution

The third proportional to 75,579.75 and 164,973.75 is: 360,100.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,579.75 : 164,973.75 = 164,973.75 : x
  2. Step 2: Convert to fraction form
    75,579.75/164,973.75 = 164,973.75/x
  3. Step 3: Cross multiply
    75,579.75x = 164,973.75 × 164,973.75
  4. Step 4: Simplify right side
    75,579.75x = 27,216,338,189.06
  5. Step 5: Solve for x
    x = 27,216,338,189.06/75,579.75
  6. Step 6: Final answer
    x = 360,100.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.