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Finding the Third Proportional to 59.63 and 126.84

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Solution

The third proportional to 59.63 and 126.84 is: 269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.63 : 126.84 = 126.84 : x
  2. Step 2: Convert to fraction form
    59.63/126.84 = 126.84/x
  3. Step 3: Cross multiply
    59.63x = 126.84 × 126.84
  4. Step 4: Simplify right side
    59.63x = 16,089.34
  5. Step 5: Solve for x
    x = 16,089.34/59.63
  6. Step 6: Final answer
    x = 269.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.