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Finding the Third Proportional to 75,353.25 and 161,066.06

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Solution

The third proportional to 75,353.25 and 161,066.06 is: 344,275.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,353.25 : 161,066.06 = 161,066.06 : x
  2. Step 2: Convert to fraction form
    75,353.25/161,066.06 = 161,066.06/x
  3. Step 3: Cross multiply
    75,353.25x = 161,066.06 × 161,066.06
  4. Step 4: Simplify right side
    75,353.25x = 25,942,276,489.25
  5. Step 5: Solve for x
    x = 25,942,276,489.25/75,353.25
  6. Step 6: Final answer
    x = 344,275.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.