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Finding the Third Proportional to 60.50 and 126.13

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Solution

The third proportional to 60.50 and 126.13 is: 262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.50 : 126.13 = 126.13 : x
  2. Step 2: Convert to fraction form
    60.50/126.13 = 126.13/x
  3. Step 3: Cross multiply
    60.50x = 126.13 × 126.13
  4. Step 4: Simplify right side
    60.50x = 15,907.52
  5. Step 5: Solve for x
    x = 15,907.52/60.50
  6. Step 6: Final answer
    x = 262.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.