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Finding the Third Proportional to 74,506 and 161,626.75

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Solution

The third proportional to 74,506 and 161,626.75 is: 350,618.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,506 : 161,626.75 = 161,626.75 : x
  2. Step 2: Convert to fraction form
    74,506/161,626.75 = 161,626.75/x
  3. Step 3: Cross multiply
    74,506x = 161,626.75 × 161,626.75
  4. Step 4: Simplify right side
    74,506x = 26,123,206,315.56
  5. Step 5: Solve for x
    x = 26,123,206,315.56/74,506
  6. Step 6: Final answer
    x = 350,618.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.