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Finding the Third Proportional to 76.13 and 200.06

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Solution

The third proportional to 76.13 and 200.06 is: 525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.13 : 200.06 = 200.06 : x
  2. Step 2: Convert to fraction form
    76.13/200.06 = 200.06/x
  3. Step 3: Cross multiply
    76.13x = 200.06 × 200.06
  4. Step 4: Simplify right side
    76.13x = 40,025.00
  5. Step 5: Solve for x
    x = 40,025.00/76.13
  6. Step 6: Final answer
    x = 525.78

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.