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Finding the Third Proportional to 77,997.94 and 111,461.06

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Solution

The third proportional to 77,997.94 and 111,461.06 is: 159,280.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,997.94 : 111,461.06 = 111,461.06 : x
  2. Step 2: Convert to fraction form
    77,997.94/111,461.06 = 111,461.06/x
  3. Step 3: Cross multiply
    77,997.94x = 111,461.06 × 111,461.06
  4. Step 4: Simplify right side
    77,997.94x = 12,423,568,453.63
  5. Step 5: Solve for x
    x = 12,423,568,453.63/77,997.94
  6. Step 6: Final answer
    x = 159,280.73

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.