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Finding the Third Proportional to 108,650 and 167,896

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Solution

The third proportional to 108,650 and 167,896 is: 259,448.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,650 : 167,896 = 167,896 : x
  2. Step 2: Convert to fraction form
    108,650/167,896 = 167,896/x
  3. Step 3: Cross multiply
    108,650x = 167,896 × 167,896
  4. Step 4: Simplify right side
    108,650x = 28,189,066,816
  5. Step 5: Solve for x
    x = 28,189,066,816/108,650
  6. Step 6: Final answer
    x = 259,448.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.