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Finding the Third Proportional to 52.50 and 127.03

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Solution

The third proportional to 52.50 and 127.03 is: 307.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.50 : 127.03 = 127.03 : x
  2. Step 2: Convert to fraction form
    52.50/127.03 = 127.03/x
  3. Step 3: Cross multiply
    52.50x = 127.03 × 127.03
  4. Step 4: Simplify right side
    52.50x = 16,136.94
  5. Step 5: Solve for x
    x = 16,136.94/52.50
  6. Step 6: Final answer
    x = 307.37

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.