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Finding the Third Proportional to 97,620 and 161,568

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Solution

The third proportional to 97,620 and 161,568 is: 267,406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,620 : 161,568 = 161,568 : x
  2. Step 2: Convert to fraction form
    97,620/161,568 = 161,568/x
  3. Step 3: Cross multiply
    97,620x = 161,568 × 161,568
  4. Step 4: Simplify right side
    97,620x = 26,104,218,624
  5. Step 5: Solve for x
    x = 26,104,218,624/97,620
  6. Step 6: Final answer
    x = 267,406.46

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.