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Finding the Third Proportional to 108,786 and 159,003

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Solution

The third proportional to 108,786 and 159,003 is: 232,400.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,786 : 159,003 = 159,003 : x
  2. Step 2: Convert to fraction form
    108,786/159,003 = 159,003/x
  3. Step 3: Cross multiply
    108,786x = 159,003 × 159,003
  4. Step 4: Simplify right side
    108,786x = 25,281,954,009
  5. Step 5: Solve for x
    x = 25,281,954,009/108,786
  6. Step 6: Final answer
    x = 232,400.81

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.