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Finding the Third Proportional to 80,442 and 105,783

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Solution

The third proportional to 80,442 and 105,783 is: 139,106.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,442 : 105,783 = 105,783 : x
  2. Step 2: Convert to fraction form
    80,442/105,783 = 105,783/x
  3. Step 3: Cross multiply
    80,442x = 105,783 × 105,783
  4. Step 4: Simplify right side
    80,442x = 11,190,043,089
  5. Step 5: Solve for x
    x = 11,190,043,089/80,442
  6. Step 6: Final answer
    x = 139,106.97

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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.