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Finding the Third Proportional to 108,510 and 167,997

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Solution

The third proportional to 108,510 and 167,997 is: 260,095.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,510 : 167,997 = 167,997 : x
  2. Step 2: Convert to fraction form
    108,510/167,997 = 167,997/x
  3. Step 3: Cross multiply
    108,510x = 167,997 × 167,997
  4. Step 4: Simplify right side
    108,510x = 28,222,992,009
  5. Step 5: Solve for x
    x = 28,222,992,009/108,510
  6. Step 6: Final answer
    x = 260,095.77

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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.