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Finding the Third Proportional to 73,860 and 161,088

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Solution

The third proportional to 73,860 and 161,088 is: 351,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,860 : 161,088 = 161,088 : x
  2. Step 2: Convert to fraction form
    73,860/161,088 = 161,088/x
  3. Step 3: Cross multiply
    73,860x = 161,088 × 161,088
  4. Step 4: Simplify right side
    73,860x = 25,949,343,744
  5. Step 5: Solve for x
    x = 25,949,343,744/73,860
  6. Step 6: Final answer
    x = 351,331.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.