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Finding the Third Proportional to 97.45 and 137.95

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Solution

The third proportional to 97.45 and 137.95 is: 195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.45 : 137.95 = 137.95 : x
  2. Step 2: Convert to fraction form
    97.45/137.95 = 137.95/x
  3. Step 3: Cross multiply
    97.45x = 137.95 × 137.95
  4. Step 4: Simplify right side
    97.45x = 19,031.06
  5. Step 5: Solve for x
    x = 19,031.06/97.45
  6. Step 6: Final answer
    x = 195.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.