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Finding the Third Proportional to 78,486 and 111,809

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Solution

The third proportional to 78,486 and 111,809 is: 159,280.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,486 : 111,809 = 111,809 : x
  2. Step 2: Convert to fraction form
    78,486/111,809 = 111,809/x
  3. Step 3: Cross multiply
    78,486x = 111,809 × 111,809
  4. Step 4: Simplify right side
    78,486x = 12,501,252,481
  5. Step 5: Solve for x
    x = 12,501,252,481/78,486
  6. Step 6: Final answer
    x = 159,280.03

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.