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Finding the Third Proportional to 77.63 and 123.75

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Solution

The third proportional to 77.63 and 123.75 is: 197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.63 : 123.75 = 123.75 : x
  2. Step 2: Convert to fraction form
    77.63/123.75 = 123.75/x
  3. Step 3: Cross multiply
    77.63x = 123.75 × 123.75
  4. Step 4: Simplify right side
    77.63x = 15,314.06
  5. Step 5: Solve for x
    x = 15,314.06/77.63
  6. Step 6: Final answer
    x = 197.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.