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Finding the Third Proportional to 60,759 and 127,660.50

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Solution

The third proportional to 60,759 and 127,660.50 is: 268,226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,759 : 127,660.50 = 127,660.50 : x
  2. Step 2: Convert to fraction form
    60,759/127,660.50 = 127,660.50/x
  3. Step 3: Cross multiply
    60,759x = 127,660.50 × 127,660.50
  4. Step 4: Simplify right side
    60,759x = 16,297,203,260.25
  5. Step 5: Solve for x
    x = 16,297,203,260.25/60,759
  6. Step 6: Final answer
    x = 268,226.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.