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Finding the Third Proportional to 66.50 and 122.13

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Solution

The third proportional to 66.50 and 122.13 is: 224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.50 : 122.13 = 122.13 : x
  2. Step 2: Convert to fraction form
    66.50/122.13 = 122.13/x
  3. Step 3: Cross multiply
    66.50x = 122.13 × 122.13
  4. Step 4: Simplify right side
    66.50x = 14,914.52
  5. Step 5: Solve for x
    x = 14,914.52/66.50
  6. Step 6: Final answer
    x = 224.28

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.