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Finding the Third Proportional to 59,679 and 128,997

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Solution

The third proportional to 59,679 and 128,997 is: 278,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,679 : 128,997 = 128,997 : x
  2. Step 2: Convert to fraction form
    59,679/128,997 = 128,997/x
  3. Step 3: Cross multiply
    59,679x = 128,997 × 128,997
  4. Step 4: Simplify right side
    59,679x = 16,640,226,009
  5. Step 5: Solve for x
    x = 16,640,226,009/59,679
  6. Step 6: Final answer
    x = 278,828.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.