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Finding the Third Proportional to 75,365.81 and 161,659.13

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Solution

The third proportional to 75,365.81 and 161,659.13 is: 346,757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,365.81 : 161,659.13 = 161,659.13 : x
  2. Step 2: Convert to fraction form
    75,365.81/161,659.13 = 161,659.13/x
  3. Step 3: Cross multiply
    75,365.81x = 161,659.13 × 161,659.13
  4. Step 4: Simplify right side
    75,365.81x = 26,133,672,695.77
  5. Step 5: Solve for x
    x = 26,133,672,695.77/75,365.81
  6. Step 6: Final answer
    x = 346,757.66

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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.