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Finding the Third Proportional to 108,330 and 161,589

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Solution

The third proportional to 108,330 and 161,589 is: 241,032.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,330 : 161,589 = 161,589 : x
  2. Step 2: Convert to fraction form
    108,330/161,589 = 161,589/x
  3. Step 3: Cross multiply
    108,330x = 161,589 × 161,589
  4. Step 4: Simplify right side
    108,330x = 26,111,004,921
  5. Step 5: Solve for x
    x = 26,111,004,921/108,330
  6. Step 6: Final answer
    x = 241,032.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.