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Finding the Third Proportional to 64,811 and 99,977

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Solution

The third proportional to 64,811 and 99,977 is: 154,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,811 : 99,977 = 99,977 : x
  2. Step 2: Convert to fraction form
    64,811/99,977 = 99,977/x
  3. Step 3: Cross multiply
    64,811x = 99,977 × 99,977
  4. Step 4: Simplify right side
    64,811x = 9,995,400,529
  5. Step 5: Solve for x
    x = 9,995,400,529/64,811
  6. Step 6: Final answer
    x = 154,223.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.