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Finding the Third Proportional to 49 and 91.88

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Solution

The third proportional to 49 and 91.88 is: 172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49 : 91.88 = 91.88 : x
  2. Step 2: Convert to fraction form
    49/91.88 = 91.88/x
  3. Step 3: Cross multiply
    49x = 91.88 × 91.88
  4. Step 4: Simplify right side
    49x = 8,441.02
  5. Step 5: Solve for x
    x = 8,441.02/49
  6. Step 6: Final answer
    x = 172.27

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.