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Finding the Third Proportional to 71.37 and 98.30

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Solution

The third proportional to 71.37 and 98.30 is: 135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.37 : 98.30 = 98.30 : x
  2. Step 2: Convert to fraction form
    71.37/98.30 = 98.30/x
  3. Step 3: Cross multiply
    71.37x = 98.30 × 98.30
  4. Step 4: Simplify right side
    71.37x = 9,662.28
  5. Step 5: Solve for x
    x = 9,662.28/71.37
  6. Step 6: Final answer
    x = 135.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.