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Finding the Third Proportional to 105,243 and 160,997

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Solution

The third proportional to 105,243 and 160,997 is: 246,287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,243 : 160,997 = 160,997 : x
  2. Step 2: Convert to fraction form
    105,243/160,997 = 160,997/x
  3. Step 3: Cross multiply
    105,243x = 160,997 × 160,997
  4. Step 4: Simplify right side
    105,243x = 25,920,034,009
  5. Step 5: Solve for x
    x = 25,920,034,009/105,243
  6. Step 6: Final answer
    x = 246,287.49

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.