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Finding the Third Proportional to 97.88 and 136.50

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Solution

The third proportional to 97.88 and 136.50 is: 190.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.88 : 136.50 = 136.50 : x
  2. Step 2: Convert to fraction form
    97.88/136.50 = 136.50/x
  3. Step 3: Cross multiply
    97.88x = 136.50 × 136.50
  4. Step 4: Simplify right side
    97.88x = 18,632.25
  5. Step 5: Solve for x
    x = 18,632.25/97.88
  6. Step 6: Final answer
    x = 190.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.