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Finding the Third Proportional to 80,447 and 105,788

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Solution

The third proportional to 80,447 and 105,788 is: 139,111.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,447 : 105,788 = 105,788 : x
  2. Step 2: Convert to fraction form
    80,447/105,788 = 105,788/x
  3. Step 3: Cross multiply
    80,447x = 105,788 × 105,788
  4. Step 4: Simplify right side
    80,447x = 11,191,100,944
  5. Step 5: Solve for x
    x = 11,191,100,944/80,447
  6. Step 6: Final answer
    x = 139,111.48

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.