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Finding the Third Proportional to 98.58 and 141.96

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Solution

The third proportional to 98.58 and 141.96 is: 204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.58 : 141.96 = 141.96 : x
  2. Step 2: Convert to fraction form
    98.58/141.96 = 141.96/x
  3. Step 3: Cross multiply
    98.58x = 141.96 × 141.96
  4. Step 4: Simplify right side
    98.58x = 20,152.91
  5. Step 5: Solve for x
    x = 20,152.91/98.58
  6. Step 6: Final answer
    x = 204.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.