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Finding the Third Proportional to 64,937 and 82,977

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Solution

The third proportional to 64,937 and 82,977 is: 106,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,937 : 82,977 = 82,977 : x
  2. Step 2: Convert to fraction form
    64,937/82,977 = 82,977/x
  3. Step 3: Cross multiply
    64,937x = 82,977 × 82,977
  4. Step 4: Simplify right side
    64,937x = 6,885,182,529
  5. Step 5: Solve for x
    x = 6,885,182,529/64,937
  6. Step 6: Final answer
    x = 106,028.65

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.