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Finding the Third Proportional to 75,475.13 and 161,520.75

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Solution

The third proportional to 75,475.13 and 161,520.75 is: 345,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,475.13 : 161,520.75 = 161,520.75 : x
  2. Step 2: Convert to fraction form
    75,475.13/161,520.75 = 161,520.75/x
  3. Step 3: Cross multiply
    75,475.13x = 161,520.75 × 161,520.75
  4. Step 4: Simplify right side
    75,475.13x = 26,088,952,680.56
  5. Step 5: Solve for x
    x = 26,088,952,680.56/75,475.13
  6. Step 6: Final answer
    x = 345,662.93

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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.